University of Idaho College Algebra Practice Quiz

The plot below represents the function f(x):5
4
3
2
11
-5 -4 -3 -2 -1
1 2 3 4 5
1 2
-3
-4
-5
q 이
Evaluate f(1):
f(1) =
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The plot below represents the function f(x):
8+
7
6
5
4
3
1
1
2
3
4
5
-5 -4 -3 -2 -1
– 1
-2+
Evaluate f(1):
f(1) =
=
Solve f(x) = 1:
X =
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Given the function f(x) = 6×2 – 2x + 8. Calculate the following values:
f(-2) =
f( – 1) =
f(0) =
f(1)
f(2) =
=
=
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Suppose f(x) = – x2 + 5x
1. Compute the following:
A.) f( – 1) + f(2) =
B.) f( – 1) – f(2) =
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ENTERING INTERVAL ANSWERS
For intervals of values, enter your answer using interval notation. Here are some examples of how
interval notation relates to inequalities:
Interval Notation
Inequality
3 < x < 5 3 < x < 5 (3,5) (3,5] (3, 0) X > 3
3 < x < 5 or 7 < x < 9 (3,5) U (7,9) With inequalities, we use "less than" () to exclude the endpoint of the interval. With interval notation, we use use round parentheses:( , ). With inequalities, we use "less than or equal to" (s) or "greater than or equal to" () to include the endpoint of the interval. With interval notation, we use use square brackets: [.]. To combine two intervals, use U (an uppercase letter u) for union: U. Use oo (two lowercase letter o's) for infinity: 0. Try it now. Enter the interval equivalent to 2 < x < 5 or x > 7.
6
5
2
-5
-2 -1
-1
3 4
-2
-3
-4
-5
-6+
Write the domain of the function using interval notation.
Find the domain and range of the function graphed below.
5
3
2. 1
-5 -4 -3 2 – 1
– 1
1 2 3 4 5
-2
-3
-4
-5
Domain:
Range:
Suppose that you are holding your toy submarine under the water. You release it and it begins to
ascend. The graph models the depth of the submarine as a function of time.
What is the domain and range of the function in the graph?
+
t (time)
6 7 8
-2
-3
-4
-5
-6
-7
d (depth)
7-8
D:
sts
R:
< d < Given the function: 8x 2 X < 0 f(x) = 8x – 4 x > 0
S
{
Calculate the following values:
f(-1) =
f(0) =
f(2)=
Complete the description of the piecewise function graphed below. Use interval notation to indicate
the intervals.
6
5
4
3
2
1
-7
-6
-5
-3
-2
– 1
1
2
3
4
5
6
7
1
O
-2
-3
-4
-5
-6+
{ 5 if x E
f(a) =
{ -2 if X E
{ -3 if x E
3
2
1/2
3
4
5
-5 -4 -3 -2 -1
-1
-2
-3
q
The function graphed above is:
Increasing on the interval(s)
Decreasing on the interval(s)
Consider the function graphed at right.
T’
4
The function has a
Select an answer
of
at x =
3
2
1
The function is increasing on the interval(s):
-5 -4
-2
2
4 5
– 1
-2
The function is decreasing on the interval(s):
-3
-5
Consider the function in the graph to the right.
The function has a maximum of
at x =
10+
9
8
The function has a minimum of
7
6
at x =
5
4
3
The function is increasing on the interval(s):
2
1
-10 -9 -8 -7 -6 -5 -4 -3 -2
2 3
6
&
9 10
-1
-2
The function is decreasing on the interval(s):
-3
-5
-6
The domain of the function is:
-8
-9
-10
The range of the function is:
The plot below represents the function f(a):
8+
7
6
5
4
3
2
2 1
1
-5 -4 -3 -2 -1
-1
1 2 3 4 5
-2 +
a
Evaluate f(3):
f(3) =
=
Solve f(x) = 3:
=
10
Suppose f(x) = x2 – 7x – 3. Compute the following:
A.) f(-3) + f(2)=
B.) f(-3) – f(2) =
Given the function f(x) = 2x – 4, evaluate and simplify the expressions below. See special
instructions on how to enter your answers.
f(a) =
f(a+h)
=
f(a+h) – f(a)
h
=
Instructions: Simplify answers as much as possible. Expressions such as 4(x + 2) and (x + 5)2
should be expanded. Also collect like terms, so 3x + x should be written as 4x.
Question Help: Video 1 Video 2
6
5
4
3
O
2
.
1
-6 -5 -4 -3 -2
4
.]
1
-2
-3
-4
-5
-6+
Write the domain of the function using interval notation.
Given the function:
6x + 9
x < 0 f(x) = 6x + 18 x > 0
Calculate the following values:
f( – 1) =
f(0)
f(2)=
Sketch a graph of f(x) =
=
if x < - 1 – X – 1 if –1 < x < 2 if < > 2
5
4
3
2.
1
1
3
-5 -4 -3 -2 -1
-1
4
5
-2
-3
-4
-51
Clear All Draw:
Note: Be sure to include closed or open dots, but only at breaks in the graph.
Consider the function graphed at right.
5
4
The function has a
Select an answer
A of
at x =
3
2
1
The function is increasing on the interval(s):
2
-5 -4 -3 -2 -1
-1
-2
The function is decreasing on the interval(s):
-3
-4
-5+
Question Help:
© Video
=
Given the function f(x) 3x + 2, evaluate and simplify the expressions below. See special
instructions on how to enter your answers.
f(a)
=
f(a+h)
=
f(a+h) – f(a)
h
=
Instructions: Simplify answers as much as possible. Expressions such as 4(x + 2) and (x + 5)2
should be expanded. Also collect like terms, so 3x + x should be written as 4x.
3
Sketch a graph of f(a)
=
– 2x
if x < – 2 1 if – 2 < x < 1 if X > 1
0
5
4
3
2
1
-5 -4 -3 -2 -1
1 2
3
4
5
– 1
-2
-3
-4
-54
Clear All Draw: