[latex]f\\left(x\\right)=\\dfrac{15,000x - 0.1{x}^{2}+1000}{x}[\/latex]<\/p>\r\nMany other application problems require finding an average value in a similar way, giving us variables in the denominator. Written without a variable in the denominator, this function will contain a negative integer power.\r\n\r\nIn the last few sections, we have worked with polynomial functions, which are functions with non-negative integers for exponents. In this section, we explore rational functions, which have variables in the denominator.","rendered":"
Suppose we know that the cost of making a product is dependent on the number of items, [latex]x[\/latex], produced. This is given by the equation [latex]C\\left(x\\right)=15,000x - 0.1{x}^{2}+1000[\/latex]. If we want to know the average cost for producing [latex]x[\/latex]\u00a0items, we would divide the cost function by the number of items, [latex]x[\/latex].<\/p>\n
The average cost function, which yields the average cost per item for [latex]x[\/latex]\u00a0items produced, is<\/p>\n
[latex]f\\left(x\\right)=\\dfrac{15,000x - 0.1{x}^{2}+1000}{x}[\/latex]<\/p>\n
Many other application problems require finding an average value in a similar way, giving us variables in the denominator. Written without a variable in the denominator, this function will contain a negative integer power.<\/p>\n
In the last few sections, we have worked with polynomial functions, which are functions with non-negative integers for exponents. In this section, we explore rational functions, which have variables in the denominator.<\/p>\n\n\t\t\t Candela Citations<\/h3>\n\t\t\t\t\t