Introduction to Functions — Unit test Answers

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The table shows ordered pairs of the function y = 16 + 0.5x .

Question illustration
A
(0, 18)
B
(5, 19.5)
C
(8, 20)
D
(10, 21.5)
2
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On a coordinate plane, solid circles appear at the following points: (negative 3, negative 3), (negative 3, 2), (1, 1), (2, negative 2), (3, 4), (4, negative 2).

Question illustration
A
(4, –2)
B
(–3, 2)
C
(3, 4)
D
(1, 1)
3

The function f(x) is shown on the graph.

Question illustration
A
0 only
B
–6 only
C
–2, –1, 1, and 3 only
D
–6, –2, –1, 1, and 3 only
4

A sequence is defined recursively using the formula f(n + 1) = f(n) – 5 . Which sequence could be generated using this formula?

A
1, –5, 25, –125, ...
B
2, 10, 50, 250, ...
C
3, –2, –7, –12, ...
D
4, 9, 14, 19, ...
5

On a coordinate plane, solid circles appear at the following points: (negative 5, negative 3), (negative 4, negative 4), (negative 2, 2), (1, 3), (1, negative 2), (2, 1), (5, negative 4).

Question illustration
A
(–2, 2)
B
(1, 3)
C
(5, –4)
D
(–4, –4)
6

On a coordinate plane, a red line, labeled g of x, begins on a negative slope, crosses the x-axis at (negative 2, 0), the y-axis at (0, negative 2), and crosses the x-axis on a positive slope at (2, 0). A straight blue line with a negative slope, labeled f of x, crosses the y-axis at (0, 2) and the x-axis at (2, 0).

Question illustration
A
f(2) = g(2)
B
f(0) = g(0)
C
f(2) = g(0)
D
f(0) = g(2)
7

Which graph represents a function?

A
Option
B
Option
C
Option
D
Option
8

A 2-column table with 9 rows. The first column is labeled x with entries negative 8, negative 6, negative 4, negative 2, 0, 2, 4, 6. The second column is labeled f of x with entries negative 16, negative 8, 0, 8, 16, 32, 64, 128.

Question illustration
A
(–8, –2)
B
(–8, 0)
C
(–∞, –6)
D
(–∞, –4)
9

A sequence is defined recursively by the formula f(n + 1) = –2f(n). The first term of the sequence is –1.5. What is the next term in the sequence?

A
–3.5
B
–3
C
0.5
D
3
10

The function f(x) is shown on the graph.

Question illustration
A
0 only
B
–6 only
C
–2, 1, or 3 only
D
–6, –2, 1, or 3 only
11

What is the inverse of the function f(x) = x +3?

A
h(x) = x + 3
Option A
B
h(x) = x – 3
Option B
C
h(x) = x – 3
D
h(x) = x + 3
12

On his first day of school, Kareem found the high temperature in degrees Fahrenheit to be 76.1°. He plans to use the function to convert this temperature from degrees Fahrenheit to degrees Celsius. What does C(76.1) represent?

Question illustration
A
the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius
B
the temperature of 76.1 degrees Celsius converted to degrees Fahrenheit
C
the amount of time it takes a temperature of 76.1 degrees Fahrenheit to be converted to 32 degrees Celsius
D
the amount of time it takes a temperature of 76.1 degrees Celsius to be converted to 32 degrees Fahrenheit
13

Lara made the table below of the predicted values for h(t), the height, in meters, of a penny t seconds after it is dropped off of the back of the bleachers.

Question illustration
A
0.5 seconds
B
0.6 seconds
C
0.7 seconds
D
0.8 seconds
14

A sequence is defined by the recursive function f(n + 1) = f(n) – 2.

A
1
B
6
C
8
D
30
15

On a coordinate plane, a curved line with minimum values of (negative 0.44, negative 4.3) and (3, negative 4), and a maximum value of (1.7, 0.7), crosses the x-axis at (negative 2.5, 0), (1.3, 0), (2, 0), and (3.44, 0), and crosses the y-axis at (0, negative 4).

Question illustration
A
[–4, –2.5]
B
[–2, –1]
C
[1, 2]
D
[2.5, 4]

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