Practice Test
For the following exercises, determine whether each of the following relations is a function.
2.
For the following exercises, evaluate the function
at the given input.
5.
Show that the function is not one-to-one.
6.
Write the domain of the function in interval notation.
7.
Given find in simplest form.
8.
Graph the function
9.
Find the average rate of change of the function by finding in simplest form.
For the following exercises, use the functions to find the composite functions.
10.
11.
12.
Express as a composition of two functions, and where
For the following exercises, graph the functions by translating, stretching, and/or compressing a toolkit function.
13.
14.
For the following exercises, determine whether the functions are even, odd, or neither.
15.
16.
18.
Graph the absolute value function
For the following exercises, find the inverse of the function.
For the following exercises, use the graph of shown in Figure 1.
21.
On what intervals is the function increasing?
22.
On what intervals is the function decreasing?
23.
Approximate the local minimum of the function. Express the answer as an ordered pair.
24.
Approximate the local maximum of the function. Express the answer as an ordered pair.
For the following exercises, use the graph of the piecewise function shown in Figure 2.
27.
Write an equation for the piecewise function.
For the following exercises, use the values listed in Table 1.
|
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
|
1 |
3 |
5 |
7 |
9 |
11 |
13 |
15 |
17 |
Table
1
29.
Solve the equation
30.
Is the graph increasing or decreasing on its domain?
31.
Is the function represented by the graph one-to-one?
32.
Find
33.
Given find