Lesson 4: Analyzing Graphs Answers

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71806
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Determine the intercepts.

Answers:
x-intercept =:(–1, 0)
y-intercept =:(0, 2)
71807

(–2, –14) (–1, 0)✔ (0, 2)(1, 4)

A
(–2, –14)
B
(–1, 0)
C
✔ (0, 2)
D
(1, 4)
82736

Use the graph to find the local minimum and the local maximum for the given function.

Answers:
Over the interval [–3, 0], the local minimum is .:–16.18
Over the interval [0, 3], the local maximum is .:3.75
Over the interval [0, 3], the local minimum is .:–3
82737

0–16.18-3✔ 3.75

A
0
B
–16.18
C
-3
D
✔ 3.75
82738

0–16.18–3.75✔ –3

A
0
B
–16.18
C
–3.75
D
✔ –3
82739

Which statement is true about the given function?

A
f(x) < 0 over the intervals (–, –2.7) and (0.8, ).
Option A
B
f(x) < 0 over the intervals (–, –2.7) and (–1, 0.8).
Option B
C
f(x) > 0 over the intervals (–, –2.7) and (–1, 0.8).
Option C
D
f(x) > 0 over the intervals (–, –1) and (0.8, ).
Option D
82740

Use the graph to determine which statement is true about the end behavior of f(x).

A
As the x-values go to negative infinity, the function’s values go to negative infinity.
B
As the x-values go to negative infinity, the function’s values go to positive infinity.
C
As the x-values go to positive infinity, the function’s values go to negative infinity.
D
As the x-values go to positive infinity, the function’s values go to zero.
82741

Which intervals show f(x) decreasing? Check all that apply.

A
[–2.5, –2]
B
[–2, –1.5]
C
[–1, 1)
D
[1.5, 2]
E
[2, 2.5)
F
(2.5, 3]
82742

Analyze the function’s graph to determine which statement is true.

A
Over the interval [–2.5, 0.5], the local maximum is 2.
B
As the x-values go to positive infinity, the function’s values go to negative infinity.
C
The function is decreasing over the interval (–1, 0.75).
D
The function is negative for the interval [–2, 0].
82743

The width of Maya’s poster is 2 inches shorter than the length. The graph models the possible area (y) of Maya’s poster determined by its length (x).Which describes what the point (2, 0) represents?

A
The area is 2 if the length is 0.
B
The area is 0 if the length is 2.
C
The length is 2 if the width is 0.
D
The width is 0 if the length is 2.
82745

Use the graph to find the local minimum and the local maximum for the given function.

Answers:
Over the interval [–3, 0], the local minimum is .:–16.18
Over the interval [0, 3], the local maximum is .:3.75
Over the interval [0, 3], the local minimum is .:–3

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