AnswersMO-Algebra I AFunction Notation

Function Notation — Unit test Answers

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3

Which best describes the relationship between the successive terms in the sequence shown?2.4, –4.8, 9.6, –19.2

A
The common difference is –7.2.
B
The common difference is –2.4.
C
The common ratio is –2.0.
D
The common ratio is –0.5.
6

For one month Siera calculated her home town’s average high temperature in degrees Fahrenheit. She wants to convert that temperature from degrees Fahrenheit to degrees Celsius using the function . What does C(F) represent?

Question illustration
A
C(F) represents the output of the function C in degrees Celsius when the input F is in degrees Fahrenheit
B
C(F) represents the output of the function F in degrees Fahrenheit when the input C is in degrees Celsius
C
C(F) represents the output of the function C in degrees Fahrenheit when the input F is in degrees Celsius
D
C(F) represents the output of the function F in degrees Celsius when the input C is in degrees Fahrenheit
8

Which set of ordered pairs represents a function?

A
{(2, –2), (1, 5), (–2, 2), (1, –3), (8, –1)}
B
{(3, –1), (7, 1), (–6, –1), (9, 1), (2, –1)}
C
{(6, 8), (5, 2), (–2, –5), (1, –3), (–2, 9)}
D
{(–3, 1), (6, 3), (–3, 2), (–3, –3), (1, –1)}
12

Mr. Jones asks his students to generate the next two numbers in the sequence beginning –5.5, 11, ....Taquan suggests that the sequence is geometric and the next two numbers are –22 and 44. Julia suggests that the sequence is arithmetic and the next two numbers are 27.5 and 44.Which best explains which student is correct?

A
Taquan is correct. When the signs change in a sequence, the sequence is geometric. Each successive term is generated by multiplying by –2.
B
Julia is correct. When the numbers alternate between decimals and whole numbers, the sequence is arithmetic. Each successive term is generated by adding 16.5.
C
Both students could be correct about the types of possible sequences. However, one student made a computational error because it is not possible to arrive at a fourth term of 44 in two different ways.
D
Both students could be correct. Because two numbers are given in the original sequence, it is possible to find a common difference and common ratio between the successive terms.
13

The acceleration of an object due to gravity is 32 feet per second squared. What is acceleration due to gravity in inches per second squared?

A
inches per second squared
Option A
B
inches per second squared
Option B
C
384 inches per second squared
D
1,024 inches per second squared
14

At a grocery store, blueberries come packaged in 8-ounce containers for $2.80. At a farmer's market, blueberries cost $4.20 for 14 ounces. There are 16 ounces in one pound. Which statement accurately compares the cost of blueberries?

A
Blueberries are $0.23 per pound more expensive at the farmer’s market.
B
Blueberries are $0.50 per pound less expensive at the farmer’s market.
C
Blueberries are $0.80 per pound less expensive at the farmer’s market.
D
Blueberries are $1.40 per pound more expensive at the farmer’s market.
18

On a coordinate plane, a curved line crosses the y-axis at (0, 1), crosses the x-axis at (.25, 0), turns at point (2, negative 3), and crosses the x-axis (3.75, 0).

Question illustration
A
all the real numbers
B
all the real numbers greater than or equal to 0
C
all the real numbers greater than or equal to 2
D
all the real numbers greater than or equal to –3
19

A sequence is defined by the recursive formula f(n + 1) = 1.5f(n). Which sequence could be generated using the formula?

A
–12, –18, –27, ...
B
–20, 30, –45, ...
C
–18, –16.5, –15, ...
D
–16, –17.5, –19, ...
20

The function h(t) = –16t2 + 28t + 500 represents the height of a rock t seconds after it is propelled by a slingshot.

A
the height of the rock 3.2 seconds before it reaches the ground
B
the time it takes the rock to reach the ground, or 3.2 seconds
C
the time it takes the rock to reach a height of 3.2 meters
D
the height of the rock 3.2 seconds after it is propelled

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