Which statement below is TRUE regarding the two functions?

Both functions have a y-intercept of 1

Both functions are exponential growth

Which statement below is TRUE regarding the functions pictured?

Both functions have a y-intercept of 3

Both functions have a MULTIPLYING pattern

Suppose a bacteria is introduced to two different solutions in separate petri dishes. The bacteria in the first solution grow at a rate modeled by the function G ( t ) = (1.40) t . The bacteria in the second solution grow in accordance with the data displayed in the table. Which statement best describes the growth rates exhibited within the two different solutions?

The bacteria grow at a faster rate in the first solution.

The bacteria grow at the same rate in both solutions.

The bacteria grow at a slower rate in the first solution.

The bacteria decay in the first solution and grow in the second solution.

Leonard compared the cost of purchasing a gallon of gas at two different gas stations. The function C(g) = 3.25 + 0.07x models the average cost of a gallon of gas at the first gas station after x months. The table below shows the average cost of a gallon of gas at the second gas station after different numbers of months. Which statement is true?

The second station had a higher initial price per gallon but increased at a smaller amount per month than the first station.

The first station had a higher initial price per gallon and increased at a greater amount per month than the second station.

The second station had a higher initial price per gallon and increased at a greater amount per month than the first station.

The first station had a higher initial price per gallon but increased at a smaller amount per month than the second station.

Jason invested money into two different accounts. He deposited $75 into the first account which earns 6% interest annually. The value of the second account after different amounts of time is shown in the table. Which statement is true?

Jason started with $5 more in the second account than the first account.

Jason started with $4 less in the second account than the first account.

Jason started with $5 less in the second account than the first account.

Jason started with $4 more in the second account than the first account.

Jay earns $50 per week, plus $5.25 for each hour worked in a given week. Fred’s earnings are calculated using the formula P = 6.25( x + 8), where x is the number of hours Matt worked. Which statement is true?

Fred earns $40 more than Jay for 40 hours of work.

Jay earns $2.75 per hour less than Fred.

Jay and Fred both earn the same for 40 hours of work in a week.

Fred earns $42 less than Jay each week when both work 0 hours.

Jason and Megan joined different online music clubs. Jason joined a club that charges him $1.29 per song he downloads. Megan joined a club that charges using the equation P = 0.89m + 2.37, where m is the number of songs she downloads. Which statement is true if Jason and Megan each download 15 songs?

Jason will pay $3.63 more than Megan.

Megan will pay $2.37 less than Jason.

Jason will pay $2.37 less than Megan.

Megan will pay $3.63 more than Jason.

Comparing Functions

Quiz

•

Other

•

9th - 12th Grade

•

Practice Problem

•

Hard

•

CCSS

8.F.A.2, 8.EE.B.5, 7.RP.A.2D

+3

Standards-aligned

Used 233+ times

FREE Resource

20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Who has the greater rate of change?

Braden has the greater rate of change with 60/3

Omar has the greater rate of change with 100

Braden has the greatest rate of change with 60

They both have the same rate of change

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

2.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Who has the greater rate of change?

Tyler has the greater rate of change with 2/3

Aubri has the greater rate of change with 3/2

Tyler has the greater rate of change with 3/2

They have the same rate of change.

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Who has the greater rate of change?

Troy has the greater rate of change.

Lucy has the greater rate of change

They have the same rate of change

Tags

CCSS.7.RP.A.2D

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The graph shows the race between the tortoise and the hare. How much of a head start did the hare give the tortoise?

2 minutes

4 minutes

7 minutes

10 minutes

Tags

CCSS.8.EE.B.5

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

How far into the race had the animals traveled before they were at the same location at the same time? Round your answer to the nearest foot.

4 feet

100 feet

7 feet

89 feet

6.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Which tree was the tallest when it was first planted?

Tree A

Tree B

Tree C

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

7.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Compare the graphs of g(x) = 8x² and f(x) = x²

g(x) opens upward, and f(x) opens downward

g(x) is narrower than f(x)

g(x) is wider than f(x)

g(x) has a vertex located higher on the y-axis than f(x)

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Comparing Functions

20 questions

Who has the greater rate of change?

Who has the greater rate of change?

Who has the greater rate of change?

The graph shows the race between the tortoise and the hare. How much of a head start did the hare give the tortoise?

How far into the race had the animals traveled before they were at the same location at the same time? Round your answer to the nearest foot.

Which tree was the tallest when it was first planted?

Compare the graphs of g(x) = 8x2 and f(x) = x2

Which company shows a greater rate of change?

Which statement below is TRUE regarding the two functions?

Which statement below is TRUE regarding the functions pictured?

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Compare the graphs of g(x) = 8x² and f(x) = x²