AnswersINMT2 Integrated Math 2 Sem 1 26-27Step Functions

Step Functions — Unit test Answers

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1
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The factor tree for 3,025 is shown.

Question illustration
A
16
B
55
C
52(112)
D
52+(112)
2
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Which graph represents the function p(x) = |x – 1|?

A
Option
B
Option
C
Option
D
Option
3

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
4

What is the simplified form of ?

Question illustration
A
5000
Option A
B
5000
Option B
C
100
Option C
D
100
Option D
5

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
6

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}
7

The solid graph is a translation of .

Question illustration
A
2 units up
B
2 units down
C
2 units left
D
2 units right
8

Which describes how to graph by transforming the parent function?

Question illustration
A
Translate the parent function 5 units to the left and 7 units up.
B
Translate the parent function 5 units to the right and 7 units up.
C
Translate the parent function 5 units down and 7 units to the right.
D
Translate the parent function 5 units up and 7 units to the right.
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

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
11

If f(x) = − 5, what is f(8.6)?

Question illustration
A
3
B
4
C
8
D
9
12

Which statement is true of the function f(x) = ? Select three options.The function is always increasing.The function has a domain of all real numbers.The function has a range of {y|– < y < }.The function is a reflection of y = .The function passes through the point (3, –27).

Question illustration
A
The function is always increasing.
B
The function has a domain of all real numbers.
C
The function has a range of {y|– < y < }.
Option C
D
The function is a reflection of y = .
Option D
E
The function passes through the point (3, –27).
13

The step function f(x) is graphed.

Question illustration
A
0
B
1
C
2
D
4
14

Which represents the reflection of f(x) = over the y-axis?

Question illustration
A
A 2-column table has 4 rows. The first column is labeled x with entries negative 1, 0, 1, 4. The second column is labeled f (x) with entries undefined, 0, 1, 2.
Option A
B
A 2-column table has 4 rows. The first column is labeled x with entries negative 1, 0, 1, 4. The second column is labeled f (x) with entries undefined, 0, negative 1, negative 2.
Option B
C
On a coordinate plane, an absolute value graph starts at (0, 0) and goes to the left through (negative 4, 2).
Option C
D
On a coordinate plane, an absolute value graph starts at (0, 0) and goes up and to the left through (negative 2, 4).
Option D
15

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
16

The function f(x) is to be graphed on a coordinate plane.f(x) = At what point should an open circle be drawn?

Question illustration
A
(–1, 0)
B
(0, 0)
C
(0, 1)
D
(1, 0)
17

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
18

The graph of the cube root parent function y = is translated to form f(x) shown on the graph.

Question illustration
A
f(x) =
Option A
B
f(x) =
Option B
C
f(x) =
Option C
D
f(x) =
Option D
19

What is the simplified form of ?

Question illustration
A
200
Option A
B
200
Option B
C
20
Option C
D
20
Option D
20

Which could be the graph of f(x) = |x - h| + k if h and k are both positive?

A
Option
B
Option
C
Option
D
Option

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