## 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. 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.
4. Given a function, evaluate it. Three parts. Look at problems 1.1.23-28 and 1.3.77-82
5. Write the equation of the line with the given characteristics. Two parts. Look at problems 1.2.31-46.
6. Determine whether the function is odd, even, or neither. Two parts. Look at problems 1.4.33-42.
7. Consider the function given. Use a grapher to graph the function and any zeros (roots), find the intervals where the function is increasing and decreasing, and any relative maximums and minimums. Look at problems 1.3.5-14.
8. The graph of y=f(x) is given. Sketch the graph of a translated function. Look at problems 1.4.70-75.
9. Find the composition of a function with its inverse. Look at problems 1.6.91-92.
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.

### Notes:

• None of the problems are directly from the text.
• This is a take home test worth 50 points. It is due Monday, June 10.

### Points for each problem

 # 1 2 3 4 5 6 7 8 9 10 11 12 13 Total pts 2 2 4 6 4 2 5 3 2 8 4 4 4 50