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. Find the natural domain of the function algebraically. Two parts. Look at problems 1.2.3-5
3. Express the function in piecewise form without absolute values. Look at problems 1.2.13
4. Find the angle of inclination of the line to the nearest degree. Look at problems 1.5.12-13
5. Identify each function as odd, even, or neither. Two parts. Look at problem 1.4.69
6. Identify the translation and the new domain and range for each function. Seven parts. Look at the example in class from the left front board
7. Simplify trigonometric functions. Six parts. Look at problem 1.6.35
8. Sketch the graph of the function by making appropriate transformations to the graph of a basic power function. Two parts. Look at problems 1.6.17-19
9. Find parametric equations for the curve. Look at problems 1.7.13-17
10. Sketch the curve by eliminating the parameter and indicate the direction of increasing t. Two parts. Look at problems 1.7.3-12 all*
11. Find the equation of the line perpendicular to the given line and passing through a given point. Look at problem 1.5.19-20
12. 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.
13. Application problem involving linear models. Look at problems 1.5.33-37*

Notes:

• *'d problems are directly from the textbook. If the problem is not *'d, then it is similar to, but not identical to, a problem from the text.