Quiz about Exponents and Exponential Functions Unit Test (H)

Question 1

Which of the following is true given the graph? As the x values increase, the values of y _____________.

Accepted Answer

Get smaller and stay positive

Answer

Get larger and stay positive

Answer

Get smaller and get negative

Answer

Get larger and get negative

Question 2

For the exponential equation, $$y=3\left(4\right)^x$$ the exponent is:

Accepted Answer

x

Answer

y

Answer

3

Answer

4

Question 3

This is the table representing the exponential equation, $$y=3^x$$ . What value should replace the star?

Accepted Answer

$$\frac{1}{3}$$

Answer

$$-\frac{1}{3}$$

Answer

$$2$$

Answer

$$-3$$

Question 4

Does the table represent an exponential function?

Accepted Answer

Yes, the b-value is 3

Answer

No

Answer

Yes, the b-value is 30

Answer

Yes, the b-value is 200

Question 5

Which of these is the graph of $$y=\left(\frac{1}{4}\right)^x$$

Accepted Answer

Question 6

The expression, $$12\left(0.015\right)^x$$ models the population of elephants in a wildlife refuge since 1975. What does 0.015 represent?

Accepted Answer

Rate of decrease in elephant population by 98.5%

Answer

Rate of decrease in elephant population by 1.5%

Answer

Rate of decrease in elephant population by 15%

Answer

Rate of decrease in elephant population by 85%

Question 7

Which of these is the correct simplified expression of "p multiplied by p"?

Accepted Answer

$$p^2$$

Answer

$$p imes p$$

Answer

$$2p$$

Answer

$$2p^2$$

Question 8

The Mendez Family just bought a home for $180,000. If the value of the home increases by 3% each year, which equation could be used to find the value of the home in 10 years?

Accepted Answer

$$y=180000\left(1.03\right)^{10}$$

Answer

$$y=180000\left(1.3\right)^{10}$$

Answer

$$y=180000\left(3\right)^{10}$$

Answer

$$y=180000\left(0.03\right)^{10}$$

Question 9

Which of the following equations show an initial amount of $15 and an increase of 35% each year?

Accepted Answer

$$y=15\left(1.35\right)^x$$

Answer

$$y=15\left(35\right)^x$$

Answer

$$y=15\left(0.35\right)^x$$

Answer

$$y=35\left(1.15\right)^x$$

Question 10

If the car you purchased is depreciating by 7% per year, what would be the decay FACTOR?

Accepted Answer

0.93

Answer

0.07

Answer

0.7

Answer

1.07

Question 11

The table represents points on the graph of an exponential function. Which equation represents this relationship?

Accepted Answer

$$y=24\left(\frac{1}{2}\right)^x$$

Answer

$$y=12\left(2\right)^x$$

Answer

$$y=12\left(\frac{1}{2}\right)^x$$

Answer

$$y=24\left(2\right)^x$$

Question 12

Which of the following represents the domain of the exponential function graphed?

Accepted Answer

$$x\ge0$$

Answer

$$y\ge25$$

Answer

$$x\ge25$$

Answer

$$y\ge0$$

Question 13

Which graph best represents $$y=15\left(\frac{1}{3}\right)^x$$ ?

Accepted Answer

Question 14

A population of sea turtles is growing by 3% each year. Currently, there are 3,000 sea turtles. How many years will it take for the population to double?

Accepted Answer

24 years

Answer

2 years

Answer

6 years

Answer

18 years

Question 15

Which table shows a sailboat that has a value that is depreciating by 14% each year?

Accepted Answer

Question 16

If you received $440 for Christmas and deposited in your bank account making 5.8% interest every year, how much will you have in 8 years?

Accepted Answer

$690.78

Answer

$17,088.71

Answer

$708.94

Answer

$687.56

Question 17

Which of the following ordered pairs would be points on the graph of $$y=3^x-4$$ ?

Accepted Answer

(3, 23)

Accepted Answer

(2, 5)

Accepted Answer

$$\left(-2,\ -3.89\right)$$

Answer

(0, 4)

Answer

(-1, -1)

Question 18

Which statements about $$y=3^x$$ are true? Select all that apply.

Accepted Answer

The y-intercept is (0, 1)

Accepted Answer

It represents exponential growth because the b-value is greater than 1

Answer

The y-intercept is (0, 3)

Answer

It represents exponential decay because the b value is $$0

Answer

The ordered pair (4, 27) would be on the graph

Exponents and Exponential Functions Unit Test (H)

30 questions

Which of the following is true given the graph? As the x values increase, the values of y _____________.

Does the table represent an exponential function?

Write an equation for the exponential function represented in the graph. (Make sure your equation is in the format of "y=" with no spaces!)

Which of these is the correct simplified expression of "p multiplied by p"?

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics