Download Use a table of values to graph the following functions. State the

Practice Test - Chapter 9
D = {all real numbers}; R = {y | y ≥ −0.125}
Use a table of values to graph the following
functions. State the domain and range.
2
1. y = x + 2x + 5
ANSWER: x
y
8
−3
5
−2
4
−1
0
5
1
8
2
13
2
Consider y = x − 7x + 6.
3. Determine whether the function has a maximum or
minimum value.
ANSWER: minimum
4. State the maximum or minimum value.
ANSWER: −6.25
5. What are the domain and range?
ANSWER: D = {all real numbers}; R = {y| y ≥ −6.25}
Solve each equation by graphing. If integral
roots cannot be found, estimate the roots to the
nearest tenth.
2
6. x + 7x + 10 = 0
ANSWER: −5, −2
D = {all real numbers}; R = {y| y ≥ 4}
2
2. y = 2x − 3x + 1
ANSWER: x
y
15
−2
6
−1
0
1
1
0
2
3
3
10
2
7. x − 5 = −3x
ANSWER: −4.2, 1.2
Describe how the graph of each function is
related to the graph of f (x) = x 2.
2
8. g(x) = x − 5
ANSWER: shifted down 5 units
9. g(x) = −3x
2
ANSWER: reflected over the x-axis, expanded vertically
10. D = {all real numbers}; R = {y | y ≥ −0.125}
2
Consider y = x − 7x + 6.
3. Determine whether the function has a maximum or
minimum value.
ANSWER: minimum
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4. State the maximum or minimum value.
ANSWER: compressed vertically and shifted 4 units up
11. MULTIPLE CHOICE Which is an equation for
the function shown in the graph?
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10. 2
16. x − 10x = −15
ANSWER: Practice
Test - Chapter 9
compressed vertically and shifted 4 units up
11. MULTIPLE CHOICE Which is an equation for
the function shown in the graph?
ANSWER: 1.8, 8.2
2
17. 2x + x – 15 = 0
ANSWER: 2.5, −3
18. BASEBALL Elias hits a baseball into the air. The
2
equation h = –16t + 60t +3 models the height h in
feet of the ball after t seconds. How long is the ball
in the air?
2
ANSWER: about 3.8 seconds
A y = −3x
B y = 3x2 + 1
2
C y = x + 2
D y = −3x2 + 2
19. Graph {(−2, 4), (−1, 1), (0, 0), (1, 1), (2, 4)}.
Determine whether the ordered pairs represent a
linear function, a quadratic function, or an
exponential function.
ANSWER: D
ANSWER: Solve each equation by completing the square.
2
12. x + 2x + 5 = 0
ANSWER: no real solution
2
13. x − x − 6 = 0
ANSWER: −2, 3
quadratic
2
20. Look for a pattern in the table to determine which
kind of model best describes the data.
14. 2x − 36 = −6x
ANSWER: −6, 3
Solve each equation by using the Quadratic
Formula. Round to the nearest tenth if
necessary.
2
15. x − x − 30 = 0
ANSWER: linear
21. CAR CLUB The table shows the number of car
club members for four consecutive years after it
began.
ANSWER: −5, 6
2
16. x − 10x = −15
ANSWER: 1.8, 8.2
a. Determine which model best represents the data.
b. Write a function that models the data.
c. Predict the number of car club members after 6
years.
2
17. 2x + x – 15 = 0
ANSWER: 2.5, −3
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18. BASEBALL Elias hits a baseball into the air. The
2
equation h = –16t + 60t +3 models the height h in
ANSWER: a. exponential x
b. y = (10)2
c. 640
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ANSWER: Practice
Test - Chapter 9
linear
21. CAR CLUB The table shows the number of car
club members for four consecutive years after it
began.
24. f (x) =
ANSWER: a. Determine which model best represents the data.
b. Write a function that models the data.
c. Predict the number of car club members after 6
years.
ANSWER: a. exponential x
b. y = (10)2
c. 640
25. f (x) =
ANSWER: Graph each function.
22. f (x) = |x − 1|
ANSWER: 26. Determine the domain and range of the function
graphed below.
23. f (x) = −|2x|
ANSWER: ANSWER: D = all real numbers;
R = y − 2
24. f (x) =
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