Math 108 - Self Assessment Exercises
1
2.7 - Transformations of Functions
Review problems
1. Graphs of functions. Sketch the graph of each function. Label intercepts and asymptotes (if
any).
(a) y = x
(b) y = x2
(c) y = x3
(d) y = |x|
(e) y = 1
(f ) y = x
Math 108 - Self Assessment Exercises
1
8.1 - Systems of Equations
Review problems
1. A box has the volume of 12 cubic inches. If the width of the box is 4 in, and the length is 9 in,
what is its height?
2. A circle has a circumference of 40 in. Find the r
Math 108 - Self Assessment
5.4 - Graphs of Sine and Cosine
Review Problems
1. Simplify the following:
2
39
5
(a)
(b)
1
2
4
2. Use transformations of graphs (translation, reflection, stretch, compresssion) to sketch the graphs of
the following:
(a) y = (x
Math 108 - Self Assessment
5.2 - Right Triangle Trigonometry
Review Problems
1. Find the hypotenuse of a right triangle whose legs are 3 and 7.
2. Find the leg of a right triangle whose other leg is 8 and the hypotenuse is 9.
Basic Knowledge
3. Find the f
Math 108 - Self Assessment Exercises
1
4.1 and 4.2 - Exponential functions
Review problems
1. Operations on exponents. Simplify. Write answers with only p ositive exponents.
(2x3 y)4
(a)
(b) (16x4 y 8 )3/4
1 )3
(2xy
Basic knowledge
2. Given function f (x)
Math 108 - Pretest
Do not use calculators, books, notes, or help from others. Give yourself one hour of undistracted time to solve all problems.
1. Evaluate the following. Show every step. Do not use calculators. Do not use decimals.
32
(a) 5(2 (3) =
(b)5