Upon successful completion of the course, students will be able to:
1. Identify and represent elementary functions (defined as polynomial, rational, radical, exponential, and logarithmic functions) numerically, graphically, algebraically and verbally.
2. Determine properties of elementary functions such as domain and range, intercepts, symmetry, or the average rate of change.
3. Graph and analyze elementary functions.
4. Relate the effect of transformations on graphs of functions and their corresponding equations.
5. Perform operations on functions, including composition of functions.
6. Determine the inverse of a function from multiple representations.
7. Simplify exponential and logarithmic expressions using their properties. 8. Solve linear, quadratic, higher degree polynomial, exponential and logarithmic equations.
9. Solve polynomial and rational inequalities.
10. Graph and determine the equations of circles.
11. Solve systems of linear and non-linear equations using various methods.
12. Apply elementary functions to contextual situations.