Quiz about Unit 6: Comparing Functions/ Sequences/ Rate of Change

Question 1

Which function is linear?

Accepted Answer

h(x)

Answer

f(x)

Answer

g(x)

Question 2

What type of function is this and why?

Accepted Answer

Linear Function ; common 1st difference

Answer

Quadratic Function ; common 2nd difference

Answer

Exponential Function; common ratio

Answer

Not a Function

Question 3

What type of function does this equation represent?
$y=5x+10$

Accepted Answer

Linear Function

Answer

Quadratic Function

Answer

Exponential Function

Answer

Not a Function

Question 4

What type of function does this graph represent?

Accepted Answer

Exponential Function

Answer

Linear Function

Answer

Quadratic Functiono

Answer

Not a Function

Question 5

What type of function is this?

Accepted Answer

Not a Function

Answer

Linear Function

Answer

Exponential Function

Answer

Quadratic Function

Question 6

Which student represents a Quadratic Function?

Accepted Answer

Beth

Answer

Maria

Answer

Tracy

Answer

None of the above

Question 7

All Linear Functions have a __________________.

Accepted Answer

Common 1st Difference

Answer

Common Ratio

Answer

Common 2nd Difference

Answer

There's no way to tell

Question 8

All Exponential Functions have a ________________.

Accepted Answer

Common Ratio

Answer

Common 1st Difference

Answer

Common 2nd Difference

Answer

None of these

Question 9

All Quadratic Functions have a ________________

Accepted Answer

Common 2nd Difference

Answer

Common Ratio

Answer

Common 1st Difference

Answer

None of these

Question 10

What type of function does this table represent?

Accepted Answer

Exponential Function

Answer

Linear Function

Answer

Quadratic Function

Answer

Not a Function

Question 11

What type of function describes the story below?

Amy had $10 in her piggy bank. She added $5 each week.

Accepted Answer

Linear because this has a constant rate of change.

Answer

Exponential because this grows at a constant percent rate

Answer

Quadratic because this is an area model.

Question 12

What type of function can model the story below?

Mr. Bob was mad at his teenage son for disobeying his curfew. He took his son's car keys and dropped them off a 100ft cliff.

Accepted Answer

Quadratic because this is a projectile motion model

Answer

Linear because this has a constant rate of change.

Answer

Exponential because this decays at a constant percent rate

Question 13

What type of function can model the story below?

The value of a rare collectable item is appreciating at 15% per year.

Accepted Answer

Exponential because this grows at a constant percent rate

Answer

Linear because this has a constant rate of change.

Answer

Quadratic because this is a projectile motion model

Question 14

What type of function can model the story below?

A Instagram influencer makes a post on her social media. The number of likes on her post increases around 30% each day.

Accepted Answer

Exponential because this grows at a constant percent rate

Answer

Linear because this has a constant rate of change.

Answer

Quadratic because this is a projectile motion model

Question 15

What type of function can model the story below?

Mary is building a rectangular patio that is twice as long as it is wide.

Accepted Answer

Quadratic because this is an area model

Answer

Linear because this has a constant rate of change.

Answer

Exponential because this grows at a constant percent rate

Question 16

$$m=\frac{y_2-y_1}{x_2-x_1}$$

In order to calculate rate of change using the slope formula you must first get...

Accepted Answer

TWO ordered pairs

Answer

ONE ordered pair

Answer

help from your math teacher

Question 17

Who has the greater rate of change?

Accepted Answer

CJ has a greater rate of change with 13/2

Answer

Holland has a greater rate of change with 6

Answer

CJ has a greater rate of change with 2/13

Answer

They have the same rate of change.

Question 18

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 19

Who has the same rate of change?

Accepted Answer

Dennis and Myriah have the same rate of change.

Answer

Dennis and Kameron have the same rate of change.

Answer

Myriah and Kameron have the same rate of change.

Answer

They ALL have the same rate of change

Question 20

What is Mrs. Gordon's rate from 0 to 2 seconds?

Accepted Answer

2.5 feet per second

Answer

.4 feet per second

Answer

5 feet per second

Answer

.2 feet per second

Question 21

Find the average rate of change over the given interval.

Accepted Answer

7/3

Answer

4

Answer

7

Answer

3/7

Question 22

What is the average rate of change from x=0 to x=1

Accepted Answer

3

Answer

-3

Answer

0

Answer

2

Question 23

f(x) = 2x² + 12x + 16
What is the average rate of change of f(x) on the interval [-3, -2].

Accepted Answer

2

Answer

1/2

Answer

-2

Answer

-1/2

Question 24

Which of the following graphs has the largest average rate of change from -1 to 2?

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 25

Find the average rate of change of f(x)=2x²+3x-1 from 1 to 2.

Accepted Answer

9

Answer

18

Answer

-9

Answer

3

Question 26

Average Rate of Change is also known as...

Accepted Answer

slope

Answer

y-intercept

Answer

x-intercept

Answer

linear

Question 27

At 0 seconds, Mrs. Taylor was 10 feet off the ground.  At 5 seconds, she was 20 feet off the ground.  What is her rate in feet per second?

Accepted Answer

2 feet per second

Answer

10 feet per second

Answer

5 feet per second

Answer

6 feet per second

Question 28

What is the average rate of change of y = 2(3)^x at [2, 4]?

Accepted Answer

72

Answer

3

Answer

36.8

Answer

630

Question 29

Which function has the greatest rate of change from [ 3, 5]?

$$f\left(x\right)=2^x$$

$$g\left(x\right)=5x-1$$

Accepted Answer

f(x)

Answer

g(x)

Question 30

Which function has the greatest rate of change from [ 0, 1]?

$$f\left(x\right)=2^x$$

$$g\left(x\right)=5x-1$$

Accepted Answer

g(x)

Answer

f(x)

Question 31

Which type of function has a CONSTANT Rate of Change?

Accepted Answer

Linear

Answer

Exponential

Answer

Quadratic

Answer

none of these

Question 32

Which type of function has a Rate of Change that can be positive, negative and zero depending on where you look on the graph?

Accepted Answer

Quadratic

Answer

Linear

Answer

Exponential

Answer

none of these

Question 33

Which type of function has a Rate of Change that, over time, will ALWAYS exceed the others?

Accepted Answer

Exponential

Answer

Linear

Answer

Quadratic

Answer

none of these

Question 34

Which type of function has a Rate of Change that you can determine simply by looking at the equation?

Accepted Answer

Linear

Answer

Exponential

Answer

Quadratic

Answer

none of these

Question 35

Which type of function has a Rate of Change that will vary but always be positive or negative?

Accepted Answer

Exponential

Answer

Linear

Answer

Quadratic

Answer

none of these

Question 36

Which sequence is an arithmetic sequence?

Accepted Answer

3, 7, 11, 15, ...

Answer

3, 6, 2, 7, ...

Answer

3, 6, 12, 24, ...

Answer

3, 6, 10, 15, ...

Question 37

In a certain arithmetic sequence, a₁= 12 and a₂= 16. What is a₅?

Accepted Answer

28

Answer

24

Answer

32

Answer

8

Question 38

In a sequence, the first three terms are 7, 49, and 343. What is the explicit formula for the sequence?

Accepted Answer

$$a_{n\ }=7\cdot\ 7^{\left(n-1\right)}$$

Answer

$$a_{n\ }=\ 7^{\left(n-1\right)}$$

Answer

$$a_n=7\cdot1^{\left(n-1\right)}$$

Answer

$$a_{n\ }=7\cdot1^n$$

Question 39

What is the pattern of this sequence?

500, 200, 80, 32, ...

Accepted Answer

r=2/5

Answer

d=5/2

Answer

d=2/5

Answer

r=5/2

Question 40

Which sequence is geometric?

Accepted Answer

5, 10, 20, 40, ...

Answer

5, 3, 1, -1, ...

Answer

5, 7, 9, 11, ...

Answer

5, 15, -45, -135, ...

Unit 6: Comparing Functions/ Sequences/ Rate of Change

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