Math 116 - Chapter 1 Study Guide

---

1. Use a graphing utility to graph the equation. Use the standard window. Approximate any x or y intercepts. Two parts. Look at problems 1.1.19 - 1.1.25 and 1.4.47 - 1.4.49.
2. Describe the viewing window. Look at problems 1.1.59 - 1.1.62.
3. Find three additional points on the line passing through the given point with the given slope. Look at problems 1.2.17 - 1.2.25.
4. Find the equation of the line that passes through the given point with the given slope. Look at problems 1.2.51 - 1.2.59.
5. Determine if the equation represents y as a function of x. Three parts. Look at problems 1.3.13 - 1.3.22.
6. Evaluate the function at the specified value of the independent variable and simplify. Three parts. Look at problems 1.3.25 - 1.3.35.
7. Find the domain of the function. Three parts. Look at problems 1.3.51 - 1.3.60.
8. Use a graphing utility to approximate any relative minimum or maximum values of the function. Look at problems 1.4.51 - 1.4.55.
9. Identify the common function and the transformation shown in the graph. Write the formula for the graphed function. Four parts. Look at problems 1.5.13 - 1.5.24.
10. Find the composition of functions. Two parts. Look at problems 1.6.35 - 1.6.43.
11. Find the difference quotient for the given function, and simplify. You are responsible for knowing the formula for the difference quotient. Look at problems 1.6.61 - 1.6.64.
12. Sketch the inverse of the given function. A function is sketched, you need to sketch its inverse. You are not given the equation of the function, just the graph. Look at problems 1.7.1 - 1.7.4.
13. Determine whether the function is one-to-one. If it is, find the its inverse. Three parts. Look at problems 1.7.41 - 1.7.59.
14. Find an equation for the line passing through the given points. Look at problems 1.2.41 - 1.2.49.

Notes:

• None of the problems are straight from the text, but are very similar to problems in the text with either a few numbers or signs changed.
• The notation 1.1.19 - 1.1.25 means look at problems 19 - 25 in section 1.1
• There is a one-to-one correspondence between problems on the study guide and problems on the exam. In other words, #13 on the study guide is what problem #13 on the exam will be about.