Math 121 - Exam 1 Study Guide

1. Evaluate the combination and composition of functions given in table form. Four parts. Look at problem 1.4.53
2. Rewrite the function without absolute value notation. Look at problem 1.2.13-14.
3. Identify each function as odd, even, or neither. Two parts. Look at problem 1.4.69
4. Identify the translation and the new domain and range for each function. Seven parts. Similar to an example worked in class. Or look at the lecture notes for section 1.5 from College Algebra.
5. 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.
6. Simplify trigonometric functions. Six parts. Look at problem 1.6.35
7. Find the dimensions of a solid that minimize the surface area. Look at problem 1.1.11. The geometric formulas necessary are given on the test.
8. 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.
9. Match the graph with the function. Eight parts. Look at problem 1.6.11.
10. 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.
11. Consider a polynomial function. Know the number of real or complex zeros, the maximum number of turns, the right hand behavior, and the left hand behavior of the graph. Look at the review of polynomials on page 81 and the section 3.2 lecture notes from College Algebra.
12. Consider a rational function. Know whether the graph will touch or cross the x-axis, the right hand behavior (horizontal asymptotes), behavior at vertical asymptotes, and left hand behavior. Read the review of rational functions on page 82 and the section 3.5 lecture notes from College Algebra.

Notes:

• Problems are similar to those in the textbook.