Kansas Algebra Program

Unit 2 Exam Objectives - Functions and Their Graphs

1. Identify functions from the graph, set of ordered pairs, or equation
2. Use function notation to evaluate functions.
3. Find the domain (given an equation or graph) and range (given a graph) of a function.
4. Form the sum, difference, product, and quotient of two functions.
5. Use function notation to describe or express a given relationship.
6. Analyze the graph of a function - increasing, decreasing, constant intervals; local maximum/minimum; domain/range
7. Recognize equations and graphs of basic functions and describe their characteristics.
8. Graph a piecewise defined function.
9. 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.
10. Given a description of a transformation, or series of transformations, of a basic function,sketch the graph.
11. Write the equation of a transformation, given the graph or description.
12. Solve applications involving linear functions.
13. Find the constant of variation k and solve applications involving direct and joint variation.