# Math 121 - Exam 1 Study Guide

1. Use the table of values to evaluate the combination and composition of functions. Eight parts. Look at problem 1.3.37 and review exercise 1.11.
2. Look at the graph and determine whether or not the graph is that of a function. Also determine whether the graph is symmetric to the x-axis, y-axis, origin, or none of these. Look at problem 1.3.62.
3. A situation involving rectilinear motion is described. Sketch a position vs time curve that could represent that motion. Look at problem 1.1.17.
4. Identify the translation and the new domain and range for each function. Five parts. Similar to the example worked in class or look at the lecture notes for section 1.5 from College Algebra.
5. Consider a polynomial function. Know the number of real or complex zeros, the maximum number of turns, the right hand behavior, the left hand behavior of the graph, and the y-intercept. Look at the review of polynomials on pages 43-44 and the section 3.2 lecture notes from College Algebra.
6. A sketch of a function is given. Use that graph to sketch the given function. Two parts. Look at problems 1.3.1-4.
7. Identify each function as odd, even, or neither. Three parts. Look at problem 1.3.63.
8. The equation of a relation is given. Determine whether the graph of each relation is symmetric about the x-axis, y-axis, or origin. Four parts. Look at problems 1.3.66-67.
9. Consider a rational function. Know whether the graph will touch or cross the x-axis, the right hand and left hand behavior (horizontal asymptotes), behavior at vertical asymptotes. Be able to make a sign chart for the function. Read the review of rational functions on pages 44-45 and the section 3.5 lecture notes from College Algebra.
10. Convert the degree measurement into radian measurement. Give exact values. Look at problems 1-2 in appendix A.
11. Convert the radian measure in degrees. Look at problems 3-4 in appendix A.
12. Give the exact value of the trigonometric expressions. Four parts. Look at problems 13-14 in appendix A.
13. Given the value of one trigonometric function and the quadrant the angle lies in, find the values of the other five trigonometric functions. Look at problems 15-16 in appendix A.
14. Use trigonometric identities to simplify the expression. Two parts.
15. Find the exact value using the sum or difference of two angles formula for sine, cosine, or tangent. Look at problems 45-46 in appendix A.

## Notes

• Most problems are similar to examples we've worked out in class.
• Problems from the book may be similar to the problems on the test, but you should not expect the questions on the test to be identical to those in the book.
• This chapter is a review of material covered in College Algebra and Trigonometry. There are lecture notes available online for College Algebra that may prove useful.

## Point values per problem

 # Pts 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Total 16 8 4 10 5 6 6 8 6 2 2 10 5 8 4 100