# MATH 103 Precalculus I

Presents linear, quadratic, cubic, reciprocal, exponential and logarithmic functions in their multiple representations and their use as models for concrete applications. Explores the concept and application of transformations, compositions and inverse of a function. Prerequisite: C or better in MATH 102 or placement test. (NS, QS)

### Credits

5

### Outcomes

- Define, compose and evaluate functions in their multiple representations (equations, tables and graphs).
- Use functions to create mathematical models for realistic situations, identify a reasonable domain for the situation.
- Use algebraic methods or a calculator to find the extrema of a function used in a model.
- Make and interpret conclusions about a situation based on the functions being used as models.
- Define and apply logarithms and their properties.
- Solve equations involving linear, quadratic, rational, radical, literal, exponential, and logarithmic functions as well as functions defined by a table or graph.
- Describe and apply the characteristics of the domain and graph of polynomial, rational, radical, exponential, and logarithmic functions as well as functions defined by graphs, tables, compositions, or inverses, including functions that are defined piece-wise.
- Use the properties of f(x) to describe or sketch the graph of y = a∙ f(b(x + c)) +d.
- Determine and compose the inverses of functions defined by equations, graphs, tables, or words.
- Use exponential functions to model compound interest.