From the course by University of California, Irvine

Pre-Calculus: Functions

216 ratings

University of California, Irvine

Pre-Calculus: Functions

216 ratings

This course covers mathematical topics in college algebra, with an emphasis on functions. The course is designed to help prepare students to enroll for a first semester course in single variable calculus.
Upon completing this course, you will be able to:
1. Solve linear and quadratic equations
2. Solve some classes of rational and radical equations
3. Graph polynomial, rational, piece-wise, exponential and logarithmic functions
4. Find integer roots of polynomial equations
5. Solve exponential and logarithm equations
6. Understand the inverse relations between exponential and logarithm equations
7. Compute values of exponential and logarithm expressions using basic properties

From the lesson

Functions. Graphs of Functions. Transformations of Functions.

In this module, we define the notion of "function". We learn to distinguish between functions and non-functions in graphical, symbolic and tabular form. Finally, we will explore graphs of functions and how these graphs behave under linear transformations.