Unit Test — Unit test Answers

22 verified answers
3

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
4

A function, h(x), is defined as shown.h(x) = Which graph represents h(x)?

Question illustration
A
Option
B
Option
C
Option
D
Option
5

A step function h(x) is represented by y = –2⌊x⌋. Which phrase best describes the range of the function h(x)?

A
all real numbers
B
all rational numbers
C
all negative integers
D
all even integers
8

Which graph represents the function r(x) = |x – 2| – 1

Question illustration
A
Option
B
Option
C
Option
D
Option
9

A hotel offers a reward program based on the number of nights stayed. The function f(x) represents the number of free nights earned as a function of x, the number of nights stayed.f(x) = Which describes the meaning of f(x)?

Question illustration
A
A customer earns 1 free night per 10 nights stayed.
B
A customer starts with 1 free night and then earns another free night after every 10 nights stayed.
C
A customer earns x – 10 free nights for every 10 nights stayed.
D
A customer earns 10 free nights after x number of nights stayed.
10

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
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

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
14

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
15

The graph of the step function g(x) = –⌊x⌋ + 3 is shown.

Question illustration
A
{x| x is a real number}
B
{x| x is an integer}
C
{x| –2 ≤ x < 5}
D
{x| –1 ≤ x ≤ 5}
16

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
17

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.
18

What is the domain of the step function f(x) = ⌈2x⌉ – 1?

A
{x| x ≥ –1}
B
{x| x ≥ 1}
C
{x| x is an integer}
D
{x| x is a real number}
19

Question is locked

Question illustration
A
f(x) = |x| + 3
B
f(x) = |x − 6|
C
f(x) = |x|
Option C
D
f(x) = 9|x|

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