Student Learning Outcomes

1

Explain functions through graphical, algebraic, and set perspectives, including domain, range, transformation, and inverse.

2

Graphically analyze the fundamental features of functions, including shape, intercepts, domain, and range for linear; quadratic; polynomial; exponential; logarithmic; and rational functions.

3

Perform algebraic operations, including factoring and composition of linear; quadratic; polynomial; exponential; logarithmic; and rational functions.

4

Analyze functions from an algebraic perspective, including finding function values, zeros, intercepts, or vertex; construct a linear function: linear; quadratic; polynomial; exponential; logarithmic; rational.

5

Construct a linear function algebraically using slope, y-intercept, or points on the line.

6

Perform transformations on basic linear, quadratic, exponential, logarithmic, and rational functions graphically and algebraically.

7

Find the inverse function of linear, quadratic, exponential, logarithmic, and rational functions graphically and algebraically.

8

Find the intersection point(s) between functions of the same type through equation solving of linear; quadratic; polynomial; exponential; logarithmic; and rational functions.