Introduction to Modeling with Functions Answers

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1
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Question text not available

Question illustration
A
all real numbers
B
all real numbers less than or equal to 3
C
all real numbers less than or equal to –3
D
all real numbers greater than or equal to –3
2
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Which graph represents the function p(x) = |x – 1|?

A
Option
B
Option
C
Option
D
Option
4

The graph of a function is shown.

Question illustration
A
f(x) =
Option A
B
f(x) =
Option B
C
f(x) =
Option C
D
f(x) =
Option D
5

Question text not available

Question illustration
A
f(x) = –|x| + 1
B
f(x) = –|x – 1|
C
f(x) = |–x| + 1
D
f(x) = |–x – 1|
6

Chen is given the graph below.What type of graph is shown, and what is the growth factor?

Question illustration
A
linear function; growth factor of 2
B
linear function; growth factor of 4
C
exponential function; growth factor of 2
D
exponential function; growth factor of 4
8

Which table represents a linear function?

A
mc020-1.jpg
Option A
B
mc020-2.jpg
Option B
C
mc020-3.jpg
Option C
D
mc020-4.jpg
Option D
9

Question text not available

Question illustration
A
f(x) = −2|x| + 1
B
f(x) = |x| + 1
Option B
C
f(x) = -2|x + 1|
D
f(x) = |x + 1|
Option D
10

Which graph represents the function f(x) = |x| – 4?

A
On a coordinate plane, an absolute value graph has a vertex at (0, 4).
Option A
B
On a coordinate plane, an absolute value graph has a vertex at (negative 4, 0).
Option B
C
On a coordinate plane, an absolute value graph has a vertex at (0, negative 4).
Option C
D
On a coordinate plane, an absolute value graph has a vertex at (4, 0).
Option D
11

Which graph represents the function f(x) = 4|x|?

A
Option
B
Option
C
Option
D
Option
12

On a coordinate plane, an absolute value graph has a vertex at (1, 3).

Question illustration
A
g(x) = |x + 1| + 3
B
g(x) = |x + 3| – 1
C
g(x) = |x – 1| + 3
D
g(x) = |x + 3| + 1
13

A piecewise function is represented by the graph below.

Question illustration
A
x < –1
B
–1 ≤ x ≤ 1
C
1 ≤ x < 2
D
x > 1
15

Question text not available

Question illustration
A
f(x) = 1.3|x| – 2
B
f(x) = 3|x – 2|
C
f(x) = |x – 2|
Option C
D
f(x) = |x| + 2
Option D
16

Which times and distances are represented by the function? Select three options.

A
The starting distance, at 0 hours, is 300 miles.
B
At 2 hours, the traveler is 725 miles from home.
C
At 2.5 hours, the traveler is still moving farther from home.
D
At 3 hours, the distance is constant, at 875 miles.
E
The total distance from home after 6 hours is 1,062.5 miles.
17

The function shown is reflected across the y-axis to create a new function.

Question illustration
A
Both the domain and range change.
B
Both the range and domain stay the same.
C
The domain stays the same, but the range changes.
D
The range stays the same, but the domain changes.
18

Question text not available

Question illustration
A
f(x) = –|x| + 4
B
f(x) = –|x| – 4
C
f(x) = –|x + 4|
D
f(x) = –|x – 4|

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