{"id":797,"date":"2015-11-12T18:37:59","date_gmt":"2015-11-12T18:37:59","guid":{"rendered":"https:\/\/courses.candelalearning.com\/collegealgebra1xmaster\/?post_type=chapter&p=797"},"modified":"2015-11-12T18:37:59","modified_gmt":"2015-11-12T18:37:59","slug":"section-exercises-61","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/atd-sanjac-collegealgebra\/chapter\/section-exercises-61\/","title":{"raw":"Section Exercises","rendered":"Section Exercises"},"content":{"raw":"

1. What is the difference between a relation and a function?\n\n2. What is the difference between the input and the output of a function?\n\n3. Why does the vertical line test tell us whether the graph of a relation represents a function?\n\n4. How can you determine if a relation is a one-to-one function?\n\n5. Why does the horizontal line test tell us whether the graph of a function is one-to-one?\n\nFor the following exercises, determine whether the relation represents a function.\n\n6. [latex]\\left\\{\\left(a,b\\right),\\text{ }\\left(c,d\\right),\\text{ }\\left(a,c\\right)\\right\\}[\/latex]\n\n7. [latex]\\left\\{\\left(a,b\\right),\\left(b,c\\right),\\left(c,c\\right)\\right\\}[\/latex]\n\n\u00a0\n\nFor the following exercises, determine whether the relation represents [latex]y[\/latex] as a function of [latex]x[\/latex].\n\n8. [latex]5x+2y=10[\/latex]\n\n9. [latex]y={x}^{2}[\/latex]\n\n10. [latex]x={y}^{2}[\/latex]\n\n11. [latex]3{x}^{2}+y=14[\/latex]\n\n12. [latex]2x+{y}^{2}=6[\/latex]\n\n13. [latex]y=-2{x}^{2}+40x[\/latex]\n\n14. [latex]y=\\frac{1}{x}[\/latex]\n\n15. [latex]x=\\frac{3y+5}{7y - 1}[\/latex]\n\n16. [latex]x=\\sqrt{1-{y}^{2}}[\/latex]\n\n17. [latex]y=\\frac{3x+5}{7x - 1}[\/latex]\n\n18. [latex]{x}^{2}+{y}^{2}=9[\/latex]\n\n19. [latex]2xy=1[\/latex]\n\n20. [latex]x={y}^{3}[\/latex]\n\n21. [latex]y={x}^{3}[\/latex]\n\n22. [latex]y=\\sqrt{1-{x}^{2}}[\/latex]\n\n23. [latex]x=\\pm \\sqrt{1-y}[\/latex]\n\n24. [latex]y=\\pm \\sqrt{1-x}[\/latex]\n\n25. [latex]{y}^{2}={x}^{2}[\/latex]\n\n26. [latex]{y}^{3}={x}^{2}[\/latex]\n\nFor the following exercises, evaluate the function [latex]f[\/latex] at the indicated values [latex]\\text{ }f\\left(-3\\right),f\\left(2\\right),f\\left(-a\\right),-f\\left(a\\right),f\\left(a+h\\right)[\/latex].\n\n27. [latex]f\\left(x\\right)=2x - 5[\/latex]\n\n28. [latex]f\\left(x\\right)=-5{x}^{2}+2x - 1[\/latex]\n\n29. [latex]f\\left(x\\right)=\\sqrt{2-x}+5[\/latex]\n\n30. [latex]f\\left(x\\right)=\\frac{6x - 1}{5x+2}[\/latex]\n\n31. [latex]f\\left(x\\right)=|x - 1|-|x+1|[\/latex]\n\n32. Given the function [latex]g\\left(x\\right)=5-{x}^{2}[\/latex], evaluate [latex]\\frac{g\\left(x+h\\right)-g\\left(x\\right)}{h},h\\ne 0[\/latex].\n\n33. Given the function [latex]g\\left(x\\right)={x}^{2}+2x[\/latex], evaluate [latex]\\frac{g\\left(x\\right)-g\\left(a\\right)}{x-a},x\\ne a[\/latex].\n\n34. Given the function [latex]k\\left(t\\right)=2t - 1:[\/latex]\n<\/p>

a. Evaluate [latex]k\\left(2\\right)[\/latex].\nb. Solve [latex]k\\left(t\\right)=7[\/latex].<\/p>\n35. Given the function [latex]f\\left(x\\right)=8 - 3x:[\/latex]\n

a. Evaluate [latex]f\\left(-2\\right)[\/latex].\nb. Solve [latex]f\\left(x\\right)=-1[\/latex].<\/p>\n36. Given the function [latex]p\\left(c\\right)={c}^{2}+c:[\/latex]\n

a. Evaluate [latex]p\\left(-3\\right)[\/latex].\nb. Solve [latex]p\\left(c\\right)=2[\/latex].<\/p>\n37. Given the function [latex]f\\left(x\\right)={x}^{2}-3x:[\/latex]\n

a. Evaluate [latex]f\\left(5\\right)[\/latex].\nb. Solve [latex]f\\left(x\\right)=4[\/latex].<\/p>\n38. Given the function [latex]f\\left(x\\right)=\\sqrt{x+2}:[\/latex]\n

a. Evaluate [latex]f\\left(7\\right)[\/latex].\nb. Solve [latex]f\\left(x\\right)=4[\/latex].<\/p>\n39. Consider the relationship [latex]3r+2t=18[\/latex].\n

a. Write the relationship as a function [latex]r=f\\left(t\\right)[\/latex].\nb. Evaluate [latex]f\\left(-3\\right)[\/latex].\nc. Solve [latex]f\\left(t\\right)=2[\/latex].<\/p>\nFor the following exercises, use the vertical line test to determine which graphs show relations that are functions.\n\n40.\n\n\"Graph\n\n41.\n\n\"Graph\n\n42.\n\n\"Graph\n\n43.\n\n\"Graph\n\n44.\n\n\"Graph\n\n45.\n\n\"Graph\n\n46.\n\n\"Graph\n\n47.\n\n\"Graph\n\n48.\n\n\"Graph\n\n49.\n\n\"Graph\n\n50.\n\n\"Graph\n\n51.\n\n\"Graph\n\n52.\u00a0Given the following graph,\n

a. Evaluate [latex]f\\left(-1\\right)[\/latex].\nb. Solve for [latex]f\\left(x\\right)=3[\/latex].<\/p>\n\"Graph\n\n53.\u00a0Given the following graph,\n

a. Evaluate [latex]f\\left(0\\right)[\/latex].\nb. Solve for [latex]f\\left(x\\right)=-3[\/latex].<\/p>\n\"Graph\n\n54. Given the following graph,\n

a. Evaluate [latex]f\\left(4\\right)[\/latex].\nb. Solve for [latex]f\\left(x\\right)=1[\/latex].<\/p>\n\"Graph\n\nFor the following exercises, determine if the given graph is a one-to-one function.\n\n55.\n\n\"Graph\n\n56.\n\n\"Graph\n\n57.\n\n\"Graph\n\n58.\n\n\"Graph\n\n59.\n\n\"Graph\n\nFor the following exercises, determine whether the relation represents a function.\n\n60. [latex]\\left\\{\\left(-1,-1\\right),\\left(-2,-2\\right),\\left(-3,-3\\right)\\right\\}[\/latex]\n\n61. [latex]\\left\\{\\left(3,4\\right),\\left(4,5\\right),\\left(5,6\\right)\\right\\}[\/latex]\n\n62. [latex]\\left\\{\\left(2,5\\right),\\left(7,11\\right),\\left(15,8\\right),\\left(7,9\\right)\\right\\}[\/latex]\n\nFor the following exercises, determine if the relation represented in table form represents [latex]y[\/latex] as a function of [latex]x[\/latex].\n\n63.\n<\/colgroup>
[latex]x[\/latex]<\/strong><\/td>\n5<\/td>\n10<\/td>\n15<\/td>\n<\/tr>
[latex]y[\/latex]<\/strong><\/td>\n3<\/td>\n8<\/td>\n14<\/td>\n<\/tr><\/tbody><\/table>\n64.\n
\n
\n<\/colgroup>
[latex]x[\/latex]<\/strong><\/td>\n5<\/td>\n10<\/td>\n15<\/td>\n<\/tr>
[latex]y[\/latex]<\/strong><\/td>\n3<\/td>\n8<\/td>\n8<\/td>\n<\/tr><\/tbody><\/table>\n65.\n\n<\/div>\n<\/div>\n
\n
\n<\/colgroup>
[latex]x[\/latex]<\/strong><\/td>\n5<\/td>\n10<\/td>\n10<\/td>\n<\/tr>
[latex]y[\/latex]<\/strong><\/td>\n3<\/td>\n8<\/td>\n14<\/td>\n<\/tr><\/tbody><\/table>\nFor the following exercises, use the function [latex]f[\/latex] represented in the table below.\n
[latex]x[\/latex]<\/strong><\/td>\n[latex]f\\left(x\\right)[\/latex] <\/strong><\/td>\n<\/tr>
0<\/td>\n74<\/td>\n<\/tr>
1<\/td>\n28<\/td>\n<\/tr>
2<\/td>\n1<\/td>\n<\/tr>
3<\/td>\n53<\/td>\n<\/tr>
4<\/td>\n56<\/td>\n<\/tr>
5<\/td>\n3<\/td>\n<\/tr>
6<\/td>\n36<\/td>\n<\/tr>
7<\/td>\n45<\/td>\n<\/tr>
8<\/td>\n14<\/td>\n<\/tr>
9<\/td>\n47<\/td>\n<\/tr><\/tbody><\/table>\n66. Evaluate [latex]f\\left(3\\right)[\/latex].\n\n67. Solve [latex]f\\left(x\\right)=1[\/latex].\n\nFor the following exercises, evaluate the function [latex]f[\/latex] at the values\u00a0[latex]f\\left(-2\\right),f\\left(-1\\right),f\\left(0\\right),f\\left(1\\right)[\/latex], and [latex]f\\left(2\\right)[\/latex].\n\n68. [latex]f\\left(x\\right)=4 - 2x[\/latex]\n\n69. [latex]f\\left(x\\right)=8 - 3x[\/latex]\n\n70. [latex]f\\left(x\\right)=8{x}^{2}-7x+3[\/latex]\n\n71. [latex]f\\left(x\\right)=3+\\sqrt{x+3}[\/latex]\n\n72. [latex]f\\left(x\\right)=\\frac{x - 2}{x+3}[\/latex]\n\n73. [latex]f\\left(x\\right)={3}^{x}[\/latex]\n\nFor the following exercises, evaluate the expressions, given functions [latex]f,g[\/latex], and [latex]h:[\/latex]\n
  • [latex]f\\left(x\\right)=3x - 2[\/latex]<\/li>\n\t
  • [latex]g\\left(x\\right)=5-{x}^{2}[\/latex]<\/li>\n\t
  • [latex]h\\left(x\\right)=-2{x}^{2}+3x - 1[\/latex]<\/li>\n<\/ul>\n74. [latex]3f\\left(1\\right)-4g\\left(-2\\right)[\/latex]\n\n75. [latex]f\\left(\\frac{7}{3}\\right)-h\\left(-2\\right)[\/latex]\n\nFor the following exercises, graph [latex]y={x}^{2}[\/latex] on the given viewing window. Determine the corresponding range for each viewing window. Show each graph.\n\n76. [latex]\\left[-0.1,\\text{ }0.1\\right][\/latex]\n\n77. [latex]\\left[-10,\\text{ 10}\\right][\/latex]\n\n78. [latex]\\left[-100,100\\right][\/latex]\n\nFor the following exercises, graph [latex]y={x}^{3}[\/latex] on the given viewing window. Determine the corresponding range for each viewing window. Show each graph.\n\n79. [latex]\\left[-0.1,\\text{ 0}\\text{.1}\\right][\/latex]\n\n80. [latex]\\left[-10,\\text{ 10}\\right][\/latex]\n\n81. [latex]\\left[-100,\\text{ 100}\\right][\/latex]\n\nFor the following exercises, graph [latex]y=\\sqrt{x}[\/latex] on the given viewing window. Determine the corresponding range for each viewing window. Show each graph.\n\n82. [latex]\\left[0,\\text{ 0}\\text{.01}\\right][\/latex]\n\n83. [latex]\\left[0,\\text{ 100}\\right][\/latex]\n\n84. [latex]\\left[0,\\text{ 10,000}\\right][\/latex]\n\nFor the following exercises, graph [latex]y=\\sqrt[3]{x}[\/latex] on the given viewing window. Determine the corresponding range for each viewing window. Show each graph.\n\n85. [latex]\\left[-0.001,\\text{0.001}\\right][\/latex]\n\n86. [latex]\\left[-1000,\\text{1000}\\right][\/latex]\n\n87. [latex]\\left[-1,000,000,\\text{1,000,000}\\right][\/latex]\n\n88. The amount of garbage, [latex]G[\/latex], produced by a city with population [latex]p[\/latex] is given by [latex]G=f\\left(p\\right)[\/latex]. [latex]G[\/latex] is measured in tons per week, and [latex]p[\/latex] is measured in thousands of people.\n

    a. The town of Tola has a population of 40,000 and produces 13 tons of garbage each week. Express this information in terms of the function [latex]f[\/latex].\nb. Explain the meaning of the statement [latex]f\\left(5\\right)=2[\/latex].<\/p>\n89. The number of cubic yards of dirt, [latex]D[\/latex], needed to cover a garden with area [latex]a[\/latex] square feet is given by [latex]D=g\\left(a\\right)[\/latex].\n

    a. A garden with area 5000 ft2 requires 50 yd3 of dirt. Express this information in terms of the function [latex]g[\/latex].\nb. Explain the meaning of the statement [latex]g\\left(100\\right)=1[\/latex].<\/p>\n90. Let [latex]f\\left(t\\right)[\/latex] be the number of ducks in a lake [latex]t[\/latex] years after 1990. Explain the meaning of each statement:\n

    a. [latex]f\\left(5\\right)=30[\/latex]\nb. [latex]f\\left(10\\right)=40[\/latex]<\/p>\n91. Let [latex]h\\left(t\\right)[\/latex] be the height above ground, in feet, of a rocket [latex]t[\/latex] seconds after launching. Explain the meaning of each statement:\n

    a. [latex]h\\left(1\\right)=200[\/latex]\nb. [latex]h\\left(2\\right)=350[\/latex]<\/p>\n92. Show that the function [latex]f\\left(x\\right)=3{\\left(x - 5\\right)}^{2}+7[\/latex] is not<\/em> one-to-one.\n\n<\/div>\n<\/div>","rendered":"

    1. What is the difference between a relation and a function?<\/p>\n

    2. What is the difference between the input and the output of a function?<\/p>\n

    3. Why does the vertical line test tell us whether the graph of a relation represents a function?<\/p>\n

    4. How can you determine if a relation is a one-to-one function?<\/p>\n

    5. Why does the horizontal line test tell us whether the graph of a function is one-to-one?<\/p>\n

    For the following exercises, determine whether the relation represents a function.<\/p>\n

    6. [latex]\\left\\{\\left(a,b\\right),\\text{ }\\left(c,d\\right),\\text{ }\\left(a,c\\right)\\right\\}[\/latex]<\/p>\n

    7. [latex]\\left\\{\\left(a,b\\right),\\left(b,c\\right),\\left(c,c\\right)\\right\\}[\/latex]<\/p>\n

    \u00a0<\/p>\n

    For the following exercises, determine whether the relation represents [latex]y[\/latex] as a function of [latex]x[\/latex].<\/p>\n

    8. [latex]5x+2y=10[\/latex]<\/p>\n

    9. [latex]y={x}^{2}[\/latex]<\/p>\n

    10. [latex]x={y}^{2}[\/latex]<\/p>\n

    11. [latex]3{x}^{2}+y=14[\/latex]<\/p>\n

    12. [latex]2x+{y}^{2}=6[\/latex]<\/p>\n

    13. [latex]y=-2{x}^{2}+40x[\/latex]<\/p>\n

    14. [latex]y=\\frac{1}{x}[\/latex]<\/p>\n

    15. [latex]x=\\frac{3y+5}{7y - 1}[\/latex]<\/p>\n

    16. [latex]x=\\sqrt{1-{y}^{2}}[\/latex]<\/p>\n

    17. [latex]y=\\frac{3x+5}{7x - 1}[\/latex]<\/p>\n

    18. [latex]{x}^{2}+{y}^{2}=9[\/latex]<\/p>\n

    19. [latex]2xy=1[\/latex]<\/p>\n

    20. [latex]x={y}^{3}[\/latex]<\/p>\n

    21. [latex]y={x}^{3}[\/latex]<\/p>\n

    22. [latex]y=\\sqrt{1-{x}^{2}}[\/latex]<\/p>\n

    23. [latex]x=\\pm \\sqrt{1-y}[\/latex]<\/p>\n

    24. [latex]y=\\pm \\sqrt{1-x}[\/latex]<\/p>\n

    25. [latex]{y}^{2}={x}^{2}[\/latex]<\/p>\n

    26. [latex]{y}^{3}={x}^{2}[\/latex]<\/p>\n

    For the following exercises, evaluate the function [latex]f[\/latex] at the indicated values [latex]\\text{ }f\\left(-3\\right),f\\left(2\\right),f\\left(-a\\right),-f\\left(a\\right),f\\left(a+h\\right)[\/latex].<\/p>\n

    27. [latex]f\\left(x\\right)=2x - 5[\/latex]<\/p>\n

    28. [latex]f\\left(x\\right)=-5{x}^{2}+2x - 1[\/latex]<\/p>\n

    29. [latex]f\\left(x\\right)=\\sqrt{2-x}+5[\/latex]<\/p>\n

    30. [latex]f\\left(x\\right)=\\frac{6x - 1}{5x+2}[\/latex]<\/p>\n

    31. [latex]f\\left(x\\right)=|x - 1|-|x+1|[\/latex]<\/p>\n

    32. Given the function [latex]g\\left(x\\right)=5-{x}^{2}[\/latex], evaluate [latex]\\frac{g\\left(x+h\\right)-g\\left(x\\right)}{h},h\\ne 0[\/latex].<\/p>\n

    33. Given the function [latex]g\\left(x\\right)={x}^{2}+2x[\/latex], evaluate [latex]\\frac{g\\left(x\\right)-g\\left(a\\right)}{x-a},x\\ne a[\/latex].<\/p>\n

    34. Given the function [latex]k\\left(t\\right)=2t - 1:[\/latex]\n<\/p>\n

    a. Evaluate [latex]k\\left(2\\right)[\/latex].
    \nb. Solve [latex]k\\left(t\\right)=7[\/latex].<\/p>\n

    35. Given the function [latex]f\\left(x\\right)=8 - 3x:[\/latex]<\/p>\n

    a. Evaluate [latex]f\\left(-2\\right)[\/latex].
    \nb. Solve [latex]f\\left(x\\right)=-1[\/latex].<\/p>\n

    36. Given the function [latex]p\\left(c\\right)={c}^{2}+c:[\/latex]<\/p>\n

    a. Evaluate [latex]p\\left(-3\\right)[\/latex].
    \nb. Solve [latex]p\\left(c\\right)=2[\/latex].<\/p>\n

    37. Given the function [latex]f\\left(x\\right)={x}^{2}-3x:[\/latex]<\/p>\n

    a. Evaluate [latex]f\\left(5\\right)[\/latex].
    \nb. Solve [latex]f\\left(x\\right)=4[\/latex].<\/p>\n

    38. Given the function [latex]f\\left(x\\right)=\\sqrt{x+2}:[\/latex]<\/p>\n

    a. Evaluate [latex]f\\left(7\\right)[\/latex].
    \nb. Solve [latex]f\\left(x\\right)=4[\/latex].<\/p>\n

    39. Consider the relationship [latex]3r+2t=18[\/latex].<\/p>\n

    a. Write the relationship as a function [latex]r=f\\left(t\\right)[\/latex].
    \nb. Evaluate [latex]f\\left(-3\\right)[\/latex].
    \nc. Solve [latex]f\\left(t\\right)=2[\/latex].<\/p>\n

    For the following exercises, use the vertical line test to determine which graphs show relations that are functions.<\/p>\n

    40.<\/p>\n

    \"Graph<\/p>\n

    41.<\/p>\n

    \"Graph<\/p>\n

    42.<\/p>\n

    \"Graph<\/p>\n

    43.<\/p>\n

    \"Graph<\/p>\n

    44.<\/p>\n

    \"Graph<\/p>\n

    45.<\/p>\n

    \"Graph<\/p>\n

    46.<\/p>\n

    \"Graph<\/p>\n

    47.<\/p>\n

    \"Graph<\/p>\n

    48.<\/p>\n

    \"Graph<\/p>\n

    49.<\/p>\n

    \"Graph<\/p>\n

    50.<\/p>\n

    \"Graph<\/p>\n

    51.<\/p>\n

    \"Graph<\/p>\n

    52.\u00a0Given the following graph,<\/p>\n

    a. Evaluate [latex]f\\left(-1\\right)[\/latex].
    \nb. Solve for [latex]f\\left(x\\right)=3[\/latex].<\/p>\n

    \"Graph<\/p>\n

    53.\u00a0Given the following graph,<\/p>\n

    a. Evaluate [latex]f\\left(0\\right)[\/latex].
    \nb. Solve for [latex]f\\left(x\\right)=-3[\/latex].<\/p>\n

    \"Graph<\/p>\n

    54. Given the following graph,<\/p>\n

    a. Evaluate [latex]f\\left(4\\right)[\/latex].
    \nb. Solve for [latex]f\\left(x\\right)=1[\/latex].<\/p>\n

    \"Graph<\/p>\n

    For the following exercises, determine if the given graph is a one-to-one function.<\/p>\n

    55.<\/p>\n

    \"Graph<\/p>\n

    56.<\/p>\n

    \"Graph<\/p>\n

    57.<\/p>\n

    \"Graph<\/p>\n

    58.<\/p>\n

    \"Graph<\/p>\n

    59.<\/p>\n

    \"Graph<\/p>\n

    For the following exercises, determine whether the relation represents a function.<\/p>\n

    60. [latex]\\left\\{\\left(-1,-1\\right),\\left(-2,-2\\right),\\left(-3,-3\\right)\\right\\}[\/latex]<\/p>\n

    61. [latex]\\left\\{\\left(3,4\\right),\\left(4,5\\right),\\left(5,6\\right)\\right\\}[\/latex]<\/p>\n

    62. [latex]\\left\\{\\left(2,5\\right),\\left(7,11\\right),\\left(15,8\\right),\\left(7,9\\right)\\right\\}[\/latex]<\/p>\n

    For the following exercises, determine if the relation represented in table form represents [latex]y[\/latex] as a function of [latex]x[\/latex].<\/p>\n

    63.<\/p>\n\n\n\n\n\n<\/colgroup>\n\n\n\n
    [latex]x[\/latex]<\/strong><\/td>\n5<\/td>\n10<\/td>\n15<\/td>\n<\/tr>\n
    [latex]y[\/latex]<\/strong><\/td>\n3<\/td>\n8<\/td>\n14<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

    64.<\/p>\n

    \n
    \n\n\n\n\n\n<\/colgroup>\n\n\n\n
    [latex]x[\/latex]<\/strong><\/td>\n5<\/td>\n10<\/td>\n15<\/td>\n<\/tr>\n
    [latex]y[\/latex]<\/strong><\/td>\n3<\/td>\n8<\/td>\n8<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

    65.<\/p>\n<\/div>\n<\/div>\n

    \n
    \n\n\n\n\n\n<\/colgroup>\n\n\n\n
    [latex]x[\/latex]<\/strong><\/td>\n5<\/td>\n10<\/td>\n10<\/td>\n<\/tr>\n
    [latex]y[\/latex]<\/strong><\/td>\n3<\/td>\n8<\/td>\n14<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

    For the following exercises, use the function [latex]f[\/latex] represented in the table below.<\/p>\n\n\n\n\n\n\n\n\n\n\n\n\n\n
    [latex]x[\/latex]<\/strong><\/td>\n[latex]f\\left(x\\right)[\/latex] <\/strong><\/td>\n<\/tr>\n
    0<\/td>\n74<\/td>\n<\/tr>\n
    1<\/td>\n28<\/td>\n<\/tr>\n
    2<\/td>\n1<\/td>\n<\/tr>\n
    3<\/td>\n53<\/td>\n<\/tr>\n
    4<\/td>\n56<\/td>\n<\/tr>\n
    5<\/td>\n3<\/td>\n<\/tr>\n
    6<\/td>\n36<\/td>\n<\/tr>\n
    7<\/td>\n45<\/td>\n<\/tr>\n
    8<\/td>\n14<\/td>\n<\/tr>\n
    9<\/td>\n47<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

    66. Evaluate [latex]f\\left(3\\right)[\/latex].<\/p>\n

    67. Solve [latex]f\\left(x\\right)=1[\/latex].<\/p>\n

    For the following exercises, evaluate the function [latex]f[\/latex] at the values\u00a0[latex]f\\left(-2\\right),f\\left(-1\\right),f\\left(0\\right),f\\left(1\\right)[\/latex], and [latex]f\\left(2\\right)[\/latex].<\/p>\n

    68. [latex]f\\left(x\\right)=4 - 2x[\/latex]<\/p>\n

    69. [latex]f\\left(x\\right)=8 - 3x[\/latex]<\/p>\n

    70. [latex]f\\left(x\\right)=8{x}^{2}-7x+3[\/latex]<\/p>\n

    71. [latex]f\\left(x\\right)=3+\\sqrt{x+3}[\/latex]<\/p>\n

    72. [latex]f\\left(x\\right)=\\frac{x - 2}{x+3}[\/latex]<\/p>\n

    73. [latex]f\\left(x\\right)={3}^{x}[\/latex]<\/p>\n

    For the following exercises, evaluate the expressions, given functions [latex]f,g[\/latex], and [latex]h:[\/latex]<\/p>\n