Question 1

What is the average rate of change of the function

f(x) = 3^x

between

x = 1

and

x = 4

?

Accepted Answer

26

Answer

21

Answer

9

Answer

30

Question 2

What is the factored form of the polynomial

f(x) = 3^x

?

Accepted Answer

3(x - 2)(x + 2)

Answer

3(x - 2)(x + 2)

Answer

3(x - 2)(x + 2)

Answer

3(x - 2)(x + 2)

Question 3

What is the factorization of the polynomial

f(x) = 3^x

?

Accepted Answer

3(x - 2)(x + 2)

Answer

3(x - 2)(x + 2)

Answer

3(x - 2)(x + 2)

Answer

3(x - 2)(x + 2)

Question 4

What is the equation of an exponential graph that goes through the points (0, 2) and (3, 16)?

Accepted Answer

3(x - 2)(x + 2)

Answer

3(x - 2)(x + 2)

Answer

3(x - 2)(x + 2)

Answer

3(x - 2)(x + 2)

Question 5

What is the factorization of

f(x) = 3^x

?

Accepted Answer

(9m + 7n)(9m - 7n)

Answer

(9m + 7n)^2

Answer

(9m - 49n)(9m + 49n)

Answer

(81m - 49n)(m + n)

Question 6

What is the factorization of the polynomial

f(x) = 3^x

?

Accepted Answer

3(x - 2)(x + 2)

Answer

3(x - 2)(x + 2)

Answer

3(x - 2)(x + 2)

Answer

3(x - 2)(x + 2)

Question 7

Which of the following is a factor of the polynomial

f(x) = 3^x

?

Accepted Answer

3(x - 2)(x + 2)

Answer

3(x - 2)(x + 2)

Answer

3(x - 2)(x + 2)

Answer

3(x - 2)(x + 2)

Question 8

What is the factorization of the polynomial

f(x) = 3^x

?

Accepted Answer

3(x - 2)(x + 2)

Answer

3(x - 2)(x + 2)

Answer

3(x - 2)(x + 2)

Answer

3(x - 2)(x + 2)

Question 9

Identify the linear term in the polynomial

f(x) = 3^x

.

Accepted Answer

3(x - 2)(x + 2)

Answer

3(x - 2)(x + 2)

Answer

3(x - 2)(x + 2)

Answer

3(x - 2)(x + 2)

Question 10

What is the additive inverse of 8?

Accepted Answer

-8

Answer

16

Answer

0

Answer

8

Question 11

Consider the function

f(x) = 3^x

. On which interval is the function decreasing?

Accepted Answer

The function is decreasing on the interval

f(x) = 3^x

.

Answer

The function is decreasing on the interval

f(x) = 3^x

.

Answer

The function is decreasing on the interval

f(x) = 3^x

.

Answer

The function is decreasing on the interval

f(x) = 3^x

.

Question 12

Determine the linear term in the polynomial

f(x) = 3^x

.

Accepted Answer

3(x - 2)(x + 2)

Answer

3(x - 2)(x + 2)

Answer

3(x - 2)(x + 2)

Answer

3(x - 2)(x + 2)

Question 13

Which equation best represents an exponential function that passes through the points (0, 3) and (2, 12)?

Accepted Answer

3(x - 2)(x + 2)

Answer

3(x - 2)(x + 2)

Answer

3(x - 2)(x + 2)

Answer

3(x - 2)(x + 2)

Question 14

Factor the expression

f(x) = 3^x

.

Accepted Answer

(5p + 1)(5p - 1)

Answer

(25p^2 - 1)

Answer

(5p - 1)^2

Answer

(25p - 1)(p + 1)

Question 15

What is the solution to the system of equations:

f(x) = 3^x

and

x = 1

?

Accepted Answer

(2, 1)

Answer

(1, 3)

Answer

(0, 4)

Answer

(3, 0)

Question 16

Is the relation given by the set of points {(0, 1), (1, 2), (2, 2), (3, 4)} a function?

Accepted Answer

Yes, because each input has exactly one output

Answer

No, because input 3 has no output

Answer

No, because input 2 has multiple outputs

Answer

Yes, because at least one input corresponds to multiple outputs

Question 17

Which of the following numbers is an irrational number?

Accepted Answer

3(x - 2)(x + 2)

Answer

3.5

Answer

7

Answer

3(x - 2)(x + 2)

Question 18

How do you factor the expression

f(x) = 3^x

?

Accepted Answer

(3y + 5)(3y - 5)

Answer

(y + 5)(y - 5)

Answer

(3y - 5)^2

Answer

(9y - 5)(9y + 5)

Question 19

What is the average rate of change of the function

f(x) = 3^x

from

x = 1

to

x = 4

?

Accepted Answer

40

Answer

25

Answer

50

Answer

15

Question 20

A school cafeteria serves lunch to a maximum of

f(x) = 3^x

students each day. If each lunch costs

x = 1

, what is the range of the daily income I (in dollars) generated from lunch sales?

Accepted Answer

0 ≤ I ≤ 1200

Answer

0 ≤ I ≤ 600

Answer

0 ≤ I ≤ 1500

Answer

100 ≤ I ≤ 1200

Question 21

For the function

f(x) = 3^x

, identify the interval where the function is decreasing.

Accepted Answer

The function is decreasing on the interval

f(x) = 3^x

.

Answer

The function is decreasing on the interval

f(x) = 3^x

.

Answer

The function is decreasing on the interval

f(x) = 3^x

.

Answer

The function is decreasing on the interval

f(x) = 3^x

.

Question 22

Which of the following is a rational number?

Accepted Answer

0.75

Answer

3(x - 2)(x + 2)

Answer

e

Answer

3(x - 2)(x + 2)

Question 23

Which property allows you to multiply a number by a sum and get the same result as multiplying each addend by the number and then adding the results?

Accepted Answer

Distributive Property

Answer

Associative Property

Answer

Identity Property

Answer

Commutative Property

Question 24

Determine the average rate of change of the function

f(x) = 3^x

between

x = 1

and

x = 4

.

Accepted Answer

4

Answer

5

Answer

3

Answer

7

Question 25

Which statement best describes why the relation {(1, 2), (2, 3), (1, 4)} is not a function?

Accepted Answer

The input 1 is associated with two different outputs, 2 and 4

Answer

There are no duplicate x-values

Answer

The relation has more outputs than inputs

Answer

All inputs have unique outputs

Question 26

Which of the following represents a rational number?

Accepted Answer

3(x - 2)(x + 2)

Answer

3(x - 2)(x + 2)

Answer

3(x - 2)(x + 2)

Answer

3(x - 2)(x + 2)

Question 27

A water tank can hold a maximum of

f(x) = 3^x

liters. If it starts empty and is being filled at a rate of

x = 1

liters per minute, what is the range of the amount of water W (in liters) in the tank after t minutes?

Accepted Answer

0 ≤ W ≤ 1000

Answer

100 ≤ W ≤ 1000

Answer

0 ≤ W ≤ 800

Answer

0 ≤ W ≤ 500

Question 28

Which of the following graphs represents a function?

Accepted Answer

A graph that passes the vertical line test

Answer

A graph that has no defined outputs

Answer

A graph with multiple points aligned vertically

Answer

A graph that passes the horizontal line test

Question 29

What is the factorization of

f(x) = 3^x

?

Accepted Answer

(2z + 7)(2z - 7)

Answer

(4z - 7)(z + 7)

Answer

(4z + 7)^2

Answer

(2z - 49)(2z + 49)

Question 30

Which of the following numbers is a rational number?

Accepted Answer

0.333...

Answer

3(x - 2)(x + 2)

Answer

3(x - 2)(x + 2)

Answer

3(x - 2)(x + 2)

Question 31

Calculate the average rate of change of the function

f(x) = 3^x

from

x = 1

to

x = 4

.

Accepted Answer

7

Answer

13

Answer

11

Answer

9

Question 32

A school auditorium can hold up to

f(x) = 3^x

people. If the number of people attending an event ranges from

x = 1

to

x = 4

, what is the range of the function representing the number of occupied seats in the auditorium?

Accepted Answer

100 ≤ y ≤ 500

Answer

200 ≤ y ≤ 600

Answer

0 ≤ y ≤ 400

Answer

50 ≤ y ≤ 500

Question 33

Which of the following represents the associative property of multiplication?

Accepted Answer

(2 × 3) × 4 = 2 × (3 × 4)

Answer

2 × 3 × 4 = 24

Answer

2 × 3 + 4 = 2 × (3 + 4)

Answer

2 + 3 = 3 + 2

Question 34

What is the value of

f(x) = 3^x

?

Accepted Answer

1

Answer

5^1

Answer

5

Answer

0

Question 35

Which of the following sets of inputs and outputs can be described as a function?

Accepted Answer

{(2, 4), (3, 5), (4, 6)}

Answer

{(0, 0), (1, 0), (1, 1)}

Answer

{(5, 7), (5, 8), (6, 7)}

Answer

{(1, 2), (1, 3), (2, 4)}

Question 36

What is the property of addition that states that changing the grouping of numbers does not change the sum?

Accepted Answer

Associative Property

Answer

Identity Property

Answer

Commutative Property

Answer

Distributive Property

Question 37

Which of the following relations is a function?

Accepted Answer

A relation where every input has exactly one output

Answer

A relation where some inputs have multiple outputs

Answer

A relation that pairs each output with multiple inputs

Answer

A relation with no outputs

Question 38

If a vertical line intersects a graph at more than one point, what does it indicate about the relation represented by the graph?

Accepted Answer

The relation is not a function

Answer

The graph represents a quadratic function

Answer

The relation has no domain

Answer

The relation is a function

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