Free Printable Key Features of Exponential Functions

1.

What type of pattern do exponential functions have?

a)

Adds by the same number every time

b)

Multiplies by the same number every time

c)

Square roots all the inputs

d)

Squares all the inputs

2.

Which of the following is an exponential function?

a)

y = x²

b)

f(x) = 3x³

c)

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

d)

f(x) = 3^x

3.

Does the graph represent an exponential growth or an exponential decay function?

a)

Exponential Growth

b)

Exponential Decay

4.

Is the graph exponential growth or decay?

a)

Exponential growth

b)

Exponential decay

5.

Is this exponential growth or decay?

a)

Growth

b)

Decay

6.

What is the y-intercept of the function?

a)

2

b)

3

c)

1

d)

-2

7.

Look at the graph and answer each question.

Is the graph increasing or decreasing?

What is the y-intercept?

What is the asymptote?

a)

Increasing

y-intercept: (0, 5)

asymptote: y = 0

b)

Decreasing

y-intercept: (0, 5)

asymptote: y = 0

c)

Increasing

y-intercept: (0, 5)

asymptote: y = 5

d)

Decreasing

y-intercept: (5, 0)

asymptote: x = 0

8.

What is the domain of the function?

a)

$\left(-5,\infty\right)$

b)

$\left(5,\infty\right)$

c)

$\left(-\infty,\ -5\right)$

d)

$\left(-\infty,\infty\right)\ or\ all\ real\ numbers$

9.

What is the range of this graph?

a)

y = 6

b)

(0, -4)

c)

y > -6

d)

y < -6

10.

What is the range of this function?

a)

$x>4$

b)

All Real Numbers

c)

$y<4$

d)

$y>4$

11.

Which of the following statements about the graph above is true?

a)

The range is the set of all real numbers less than 0.

b)

The domain is the set of all real numbers less than 0.

c)

The domain is the set of all real numbers greater than 0.

d)

The range is the set of all real numbers greater than 0.

12.

if $y=2^x$ what is y when x = 0, 2, 4?

a)

1, 2 and 8

b)

1, 4 and 16

c)

0, 4 and 8

d)

1, 2 and 8

13.

Identify the asymptote of the function $-3\left(3\right)^x+4$

a)

y = -3

b)

y = 1

c)

y = 4

14.

Anything raised to a power of zero is always:

a)

0

b)

1

c)

itself

d)

negative

15.

Is this exponential growth or decay?

a)

Growth

b)

Decay

16.

What does the y-intercept of the graph represent?

a)

The amount of grams the material is gaining.

b)

The amount of grams the material is losing.

c)

The amount of grams remaining after so many years.

d)

The initial amount of grams.

17.

In exponential decay problems, the decay value is always....

a)

More than zero, but less than 1

b)

Less than zero

c)

Greater than 1

d)

Whatever you want it to be

18.

The growth factor for this table is

a)

2

b)

4

c)

12

d)

144

19.

How would you solve an exponential equation like the one below:

36=6^x

a)

Rewrite $36$ as $6^2$

b)

Set the exponents equal to each other

c)

Rewrite $36$ as $6^3$

d)

Multiply the exponents

20.

Find f(-4) for f(x) = 2^x

If you get a decimal answer, remember to convert it to a fraction in the calculator.

a)

16

b)

1/16

c)

8

d)

1/8

21.

Find f(x)= 432 when $f\left(x\right)=2\left(6\right)^x$

a)

2

b)

3

c)

2/3

d)

-4

22.

Which equation is an exponential equation?

a)

$y=3x+15$

b)

$y=0.5x+10$

c)

$y=3\left(2\right)^x$

d)

$y=300-10x$

23.

Solve for n:
2^-2n = 2⁶

a)

-1

b)

-7

c)

5

d)

-3

24.

Rewrite

\frac{1}{36}

as a power of 6.

a)

6

b)

$6^2$

c)

$6^6$

d)

$6^{-2}$

Key Features of Exponential Functions

Total questions: 24

Worksheet time: 2hrs 35mins

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