Student Learning Outcomes

A Function Based Approach to Intermediate Algebra

Explain functions through graphical, algebraic, and set perspectives, including domain, range, transformation, and inverse.
Graphically analyze the fundamental features of functions, including shape, intercepts, domain, and range for linear; quadratic; polynomial; exponential; logarithmic; and rational functions
Perform algebraic operations, including factoring and composition of linear; quadratic; polynomial; exponential; logarithmic; and rational functions.
Analyze functions from an algebraic perspective, including finding function values, zeros, intercepts, or vertex; construct a linear function: linear; quadratic; polynomial; exponential; logarithmic; rational.
Construct a linear function algebraically using slope, y-intercept, or points on the line.
Perform transformations on basic linear, quadratic, exponential, logarithmic, and rational functions graphically and algebraically.
Find the inverse function of linear, quadratic, exponential, logarithmic, and rational functions graphically and algebraically.
Find the intersection point(s) between functions of the same type through equation solving of linear; quadratic; polynomial; exponential; logarithmic; and rational functions.