# MATH& 141 : Precalculus I

Analysis of linear, quadratic, polynomial, exponential, logarithmic, rational, and radical functions and their graphs; linear and nonlinear inequalities; systems of equations; and matrices. This class will include students from multiple sections. (QS, NS)

## Prerequisites

P (2.0 or higher) in MATH 098/099 or MATH& 148 or equivalent.

## Course Outcomes

A student who successfully completes this class with a grade of 2.0 or better should be able to:

1. State the concept of a function algebraically, numerically, graphically, and verbally.
2. Use function notation to evaluate functions.
3. Perform the algebra of functions including composition
4. Find equations of lines.
5. Read and interpret graphs of functions.
6. Graph basic functions using transformations.
7. Evaluate and graph piecewise functions.
8. Perform the algebra of functions including composition.
9. Solve quadratic equations and inequalities.
10. Find the vertex of a quadratic function.
11. Find the extrema of functions given their graphs.
12. Describe the end behavior of a polynomial function.
13. Find real and complex zeros of a polynomial function.
14. Determine intervals where a function is increasing, decreasing, and constant
15. Graph a rational function by finding all asymptotes and intercepts.
16. Solve rational equations and inequalities.
17. Find the inverse of a function.
18. Use the properties of logarithms to simplify or solve exponential and logarithmic expressions and equations.

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