## Math 117 - Chapter 1 Study Guide

1. Determine whether the graph is that of a function. Two parts. Look at problems 1.1.49-54.
2. Find the implied domain without the use of a grapher. Two parts. Look at problems 1.1.31-38.
3. Given a function, evaluate it. Three parts. Look at problems 1.1.23-28 and 1.3.77-82
4. Write the equation of the line with the given characteristics. Two parts. Look at problems 1.2.31-46.
5. Consider the function given. Use a grapher to graph the function and find the intervals where the function is increasing and decreasing and any relative maximums and minimums. Look at problems 1.3.5-14.
6. Determine whether the graph is symmetric with respect to the x-axis, y-axis, and/or the origin. Two parts. Look at problems 1.4.15-26.
7. Determine whether the function is odd, even, or neither. Two parts. Look at problems 1.4.33-42.
8. The graph of y=f(x) is given. Sketch the graph of a translated function. Look at problems 1.4.70-75.
9. Consider the parabolic function given. Complete the square and find the vertex, axis of symmetry, whether the function has a maximum or minimum and that value. Look at problems 1.5.3-10.
10. Use a table to answer questions about combining functions. Eight parts. There is nothing like this in the book, so look at your notes from class instead.
11. Given a pair of functions, find f[g(x)] and g[f(x)]. Look at problems 1.6.1-12.
12. Find f(x) and g(x) such that h(x) = f[g(x)]. Two parts. Look at problems 1.6.13-24.
13. Find the inverse of the function. Be sure to state any restrictions that are necessary. Two parts. Look at problems 1.6.65-80.
14. Find the composition of a function with its inverse. Look at problems 1.6.91-92.

### Notes:

• None of the problems are directly from the text.
• The test was derived by looking at the chapter review and making problems similar to those problems, so you may want to look at the chapter review first and then if you have problems with those, go back to the problems given above as references.

### Points for each problem

 # 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Total pts 6 6 9 8 6 6 6 4 8 16 8 6 8 3 100