Quiz about Comparing Properties of Functions

Question 1

Who has the greater rate of change?

Accepted Answer

Harmon has the greater rate of change with 7/2

Answer

Smith has the greater rate of change with 5/4

Answer

Smith has the greater rate of change with 4/5

Answer

They have the same rate of change.

Question 2

Function A is represented by the table. Function B is represented by the equation y = 3x - 4. Which function has the greatest rate of change?

Accepted Answer

Function B because it has a rate of change of 3 and Function A has a rate of change of 2.

Answer

Function A because it has a rate of change of 1/2 and Function B has a rate of change of 1/3.

Answer

Function B because it has a rate of change of -4 and Function A has a rate of change of -10.

Answer

Function A because it has a rate of change of 10/7 and Function B has a rate of change of 3.

Question 3

Which function has the greater rate of change?

Accepted Answer

Function A because 4 is greater than 2.

Answer

Function A because 4/3 is greater than 2.

Answer

Function B because 1/2 is greater than 1/4.

Answer

Neither. They both have a rate of change equal to 4.

Question 4

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?

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 5

Which statement below is TRUE regarding the two functions?

Accepted Answer

Both functions have a y-intercept of 1

Answer

Both functions are linear

Answer

Both functions are increasing

Answer

Both functions are exponential growth

Question 6

Which statement below is TRUE regarding the functions pictured?

Accepted Answer

Both functions are increasing

Answer

Both functions have a y-intercept of 3

Answer

Both functions are linear

Answer

Both functions have a MULTIPLYING pattern

Question 7

Who has the greater rate of change?

Accepted Answer

Casey has the greater rate of change

Answer

Hunter has the greater rate of change.

Answer

They have the same rate of change

Question 8

What kind of function is this graph?

Accepted Answer

Quadratic

Answer

Linear

Answer

Exponential

Question 9

Which function is exponential and decreasing?

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Question 10

The graph of this function is a straight line.

Accepted Answer

Linear

Answer

Exponential

Answer

neither

Question 11

What type of function is this equation:
y= 4^x+1

Accepted Answer

Exponential

Answer

Linear

Answer

Neither

Question 12

What type of function describes the story below?
You have $10 and earn $5 every week.

Accepted Answer

Linear

Answer

Exponential

Answer

Neither

Question 13

Which function is quadratic?

Accepted Answer

f(x)

Answer

h(x)

Answer

g(x)

Question 14

Which graph is linear?

Accepted Answer

Graph D

Answer

Graph A

Answer

Graph B

Answer

Graph C

Question 15

Function A is represented by the equation. Function B is represented by the graph. What is the rate of change of Function A?

Accepted Answer

2/3

Answer

5

Answer

3/2

Answer

0, 5

Question 16

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?

Accepted Answer

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

Answer

The bacteria grow at the same rate in both solutions.

Answer

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

Answer

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

Question 17

The function f(x) = 14,000(1.3)^x models the population of of town 1 x years after January 2006. The table below shows the population of town 2 in different years. Assuming both towns continue to grow at the same rate, which statement is true?

Accepted Answer

Town 2 had a greater population than town 1 in 2006 and is growing at a faster rate than town 1.

Answer

Town 1 had a greater population than town 2 in 2006 and is growing at a faster rate than town 2.

Answer

Town 1 had a greater population than town 2 in 2006, but is growing at a slower rate than town 2.

Answer

Town 2 had a greater population than town 1 in 2006, but is growing at a slower rate than town 1.

Comparing Properties of Functions

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