5.13.1 - Test: Functions Unit Test
4A Math 8 Q4 / 5. Functions / 5.13. Functions Unit Test
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What are the next three terms in the sequence?
–6, 5, 16, 27, …
A. 38, 49, 60
B. 37, 47, 57
C. 36, 45, 54
D. 36, 46, 57
Geoff planted dahlias in his garden. Dahlias have bulbs that divide and reproduce underground. In the first year, Geoff’s garden produced 6 bulbs. In the second year, it produced 12 bulbs, and in the third year, it produced 24 bulbs. If this pattern continues, how many bulbs should Geoff expect in the eighth year?
A. 48 bulbs
B. 384 bulbs
C. 768 bulbs
D. 1,536 bulbs
What are the first four terms of the sequence represented by the expression n(n – 1) – 5?
A. –7, –5, –3, 1
B. –5, –10, –15, –20
C. 0, 2, 6, 12
D. –5, –3, 1, 7
A car traveling at 23 mi/h accelerates to 46 mi/h in 5 seconds. It maintains that speed for 5 seconds and then slows to a stop in 5 seconds. Which graph shows the car’s speed over time?
Use the graph below to answer the question that follows.
Which statement describes the speed of the remote-control car over time?
A. The speed of the car decreases from 4 mi/h to 2 mi/h in the first 3 seconds, increases to 5 mi/h in the next 2 seconds, and then remains at 5 mi/h for the last 5 seconds.
B. The speed of the car increases from 4 mi/h to 2 mi/h in the first 3 seconds, decreases to 5 mi/h in the next 2 seconds, and then remains at 5 mi/h for the last 5 seconds.
C. The speed of the car decreases from 4 mi/h to 2 mi/h in the first 3 seconds, increases to 6 mi/h in the next second, and then remains at 6 mi/h for the last 6 seconds.
D. The speed of the car decreases from 4 mi/h to 2 mi/h in the first 3 seconds, increases to 5 mi/h in the next 5 seconds, and then remains at 5 mi/h for the last 10 seconds.
Given the function rule f(x) = x² – 5x + 1, what is the output of f(–3)?
A. 7
B. –5
C. 25
D. 5
Suppose you earn $12 each time you mow the lawn. Which function describes the relationship between your total earnings E and the number of times you mow the lawn, m?
A. E(m) = m + 12
B. m = 12E
C. E(m) = m – 12
D. E(m) = 12m
The data in the table illustrate a linear function.
x=0,2,4,6
y=-5,-2,1,4
What is the slope of the linear function? Which graph represents the data?
Which hill described in the table is the steepest and why?
A. Dixie Hill; it rises 5 feet for every 3 feet of horizontal travel.
B. Dixie Hill; it rises three-fifths foot for every 1 foot of horizontal travel.
C. Bell Hill; it rises 2 feet for every 1 foot of horizontal travel.
D. Liberty Hill; it rises 1 foot for every 5 feet of horizontal travel.
Which graph represents the linear function y = start fraction 1 over 5 end fractionx – 2?
Which graph represents the linear function y = –2x + 3?
Which function rule represents the data in the table below?
A. y = 4 + 5x
B. y = 3 + 6x
C. y = 5 + 4x
D. y = 6 + 3x
Max charges $3.50 per hour when he mows lawns, plus $6.00 for transportation expenses. Which function rule represents the amount y Max charges to mow lawns for x hours?
A. y = 9.50x
B. y = 6.00x + 3.50
C. y = 3.50x + 6.00
D. y = 2.5x
The sale price of apples at a local grocery store is $1.35 for the first pound and $1.10 for each additional pound. Which function rule shows how the cost of apples, y, depends on the number of pounds, x?
A. y = 1.10(x – 1) + 1.35
B. y = 1.10x + 1.35
C. y = 1.35x + 1.10
D. y = (1.10 + 1.35)x
Which function rule represents the data in the table?
A. y = –3x – 8
B. y = one-thirdx – 8
C. y = one-thirdx + 8
D. y = 3x + 8
Which quadratic rule represents the data in the table?
A. y = –2x² + 5
B. y = –x² + 5
C. y = x² – 5
D. y = x² + 5
Note: For questions 19–21, your teacher will grade your responses to ensure you receive proper credit for your answers.
A 154-lb person burns 420 calories per hour riding an exercise bicycle at a rate of 15 mi/hr. Write a function rule to represent the total calories burned over time by that person. Explain how the information in the problem relates to the function.
Explain how to write a function rule from the table below. Then write a function rule.
x=0,2,4,6
y=2,1,0,-1
The graph below shows the average daily temperature over the period of a year. Explain how each labeled section of the graph relates to the four seasons.
I'm sorry, as an AI language model, I cannot provide an image or a graph. Can you please provide the image/graph in the question or rephrase your question without it?
Question 10 of 19
Which graph represents the linear function y = one-thirdx – 4?
A. A line on a graph passes through the points left-parenthesis negative 4 comma zero right-parenthesis and left-parenthesis 4 comma 3 right-parenthesis.
B. A line on a graph passes through the points left-parenthesis zero comma negative 4 right-parenthesis and left-parenthesis 3 comma 5 right-parenthesis.
C. A line on a graph passes through the points left-parenthesis negative 3 comma negative 5 right-parenthesis and left-parenthesis zero comma negative 4 right-parenthesis.
D. A line on a graph passes through the points left-parenthesis negative 4 comma zero right-parenthesis and left-parenthesis negative 3 comma 3 right-parenthesis.
The answer is B. A line on a graph passes through the points (0,-4) and (3,5).
Question 11 of 19
Which graph represents the linear function y = –3x + 1?
A. A line on a graph passes through the points left-parenthesis negative 3 comma 2 right-parenthesis left-parenthesis zero comma 1 right-parenthesis left-parenthesis 3 comma zero right-parenthesis.
B. A line on a graph passes through the points left-parenthesis negative 1 comma 4 right-parenthesis left-parenthesis zero comma 1 right-parenthesis left-parenthesis 1 comma negative 2 right-parenthesis.
C. A line on a graph passes through the points left-parenthesis negative 1 comma negative 2 right-parenthesis left-parenthesis zero comma 1 right-parenthesis left-parenthesis 1 comma 4 right-parenthesis.
D. A line on a graph passes through the points left-parenthesis negative 1 comma negative 4 right-parenthesis left-parenthesis zero comma negative 3 right-parenthesis left-parenthesis 1 comma negative 2 right-parenthesis.
The answer is A. A line on a graph passes through the points (-3,2), (0,1), and (3,0).
Question 12 of 19
Which function rule represents the data in the table below?
Input (x)
1
2
3
4
5
Output (y)
9
12
15
18
21
A. y = 4 + 5x
B. y = 3 + 6x
C. y = 5 + 4x
D. y = 6 + 3x