# Exam 2 - Study Guide

Problems on the test are straight out of the book. If it is out of a regular section, it will be an odd problem, if it is from the chapter reviews, it make be odd or even.

1. There are five parts to this question. We have solved several types of equations: quadratic equations, rational equations, equations involving rational exponents, equations involving absolute values, and equations involving radicals. There is one problem of each type on the exam. Look at problems 5 - 41 in the chapter 2 review.
2. Solve a non-linear inequality. Look at problems 49 - 51 in the chapter 2 review.
3. Two parts dealing with complex numbers. Look at problems 59 - 70 in the chapter 2 review.
4. Story problem. Watch out for the units! Look at problems 71 - 82 in the chapter 2 review.
5. Find the intercepts of the graphs of the given equations. Also check for symmetry about the x-axis, y-axis, and origin. There are two parts. The graphs aren't given on the exam like they are in the book, but look at problems 17 - 22 in the chapter 3 review.
6. Determine the center and radius of a circle. You will need to complete the square to put the equation into standard form. Look at problems 27 - 30 in the chapter 3 review.
7. Four parts. Evaluate the function at the specified values. You may be asked to evaluate a difference quotient, also. Look at problems 53 - 56 in the chapter 3 review.
8. Find the inverse of a function. Then verify that you have actually found by the inverse by composing the function with the inverse to show that you get the original argument. Look at problems 63 - 68 in the chapter 3 review.
9. Find two functions so that can be composed to form the given function. Look at problems 37 - 43 in section 3.6.
10. Work with a combination of three functions to find the sum, product, difference, quotient, or composition. Look at problems 73 - 80 in the chapter 3 review.
11. Complete a translation table like we have done in class. Tehre will be six parts. You need to identify the translation from the original, as well as the domain and range after the translation.
12. Variation problem. Look at problems 85 - 90 in the chapter 3 review.
Problems 1 - 10, and 12 are worth 4 points per part. Problem 11 is worth 2 points per translation for 12 points. The total number of points is 100.