# 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 1.4.53 and supplemental exercise 1.15.
2. Rewrite the function without absolute value notation. Look at problem 1.2.13-14.
3. Identify each function as odd, even, or neither. Three parts. Look at problem 1.4.69
4. 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 page 68 and the section 3.2 lecture notes from College Algebra.
5. 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.
6. A situation involving rectilinear motion is described. Sketch a position vs time curve that could represent that motion.
7. 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 1.4.70-71.
8. 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 page 69 and the section 3.5 lecture notes from College Algebra.
9. Given the value of one trigonometric function, draw an appropriate triangle and find the values of the other five trigonometric functions. Look at problems 15-16 in Appendix E.
10. Complete the identities for the addition, subtraction, double angle, or half angle formulas from trig. Four parts. Look at formulas 34-46 in Appendix E.
11. Use trigonometric identities to simplify the expression. Two parts.
12. Find the exact value using the sum or difference of two angles formula for sine, cosine, or tangent.
13. 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.
14. A function is given. Find the slope of the secant line between two the two given points on the curve.
15. Simplify trigonometric functions. Eight parts. Look at problem 1.6.33

## Notes

• Most problems are similar to those in the textbook or examples we've worked out in class.

## Point values per problem

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