Kansas Algebra Program

Unit 2 Exam Objectives - Functions and Their Graphs

1. Use function notation to evaluate functions.
2. Use an equation to determine the x- and y-intercepts of a function.
3. Find the domain (given an equation or graph) and range (given a graph) of a function.
4. Describe domains and ranges using interval notation.
5. Form the sum, difference, product, and quotient of two functions.
6. Evaluate and simplify the difference quotient format.
7. Use function notation to describe or express a given relationship.
8. Analyze the graph of a function - increasing, decreasing, constant intervals; local maximum/minimum; domain/range
9. Recognize equations and graphs of basic functions and describe their characteristics.
10. Graph a piecewise defined function.
11. Given a sketch of a function, make a sketch of a designated transformation (e.g. Given a graph of f(x), sketch g(x) = f(x - 4) + 3.
12. Given a description of a transformation, or series of transformations, of a basic function,sketch the graph.
13. Write the equation of a transformation, given the graph or description.