Free Printable Exponential Function_Part

1.

Match the following

$f\left(x\right)=10^x$

Exponential Equation

$3^x=729$

Exponential Inequality

$f\left(x\right)=\frac{2x}{3x-1}$

Exponential Function

$729>3^x$

Rational Function

2.

What is the Domain of $f\left(x\right)=11^x$ ?

a)

All Real Numbers

b)

Does not Exist

c)

$\left(0,+\infty\right)$

d)

0

3.

What is the Range of $f\left(x\right)=11^x$ ?

a)

All Real Numbers

b)

Does not Exist

c)

$\left(0,+\infty\right)$

d)

0

4.

What is the Vertical Asymptote of $f\left(x\right)=11^x$ ?

a)

All Real Numbers

b)

Does not Exist

c)

$\left(0,+\infty\right)$

d)

0

5.

What is the Horizontal Asymptote of $f\left(x\right)=11^x$ ?

a)

All Real Numbers

b)

Does not Exist

c)

$\left(0,+\infty\right)$

d)

0

6.

What is the y-intercept of $f\left(x\right)=11^x$ ?

a)

1

b)

Does not Exist

c)

11

d)

0

7.

What is the x-intercept of $f\left(x\right)=11^x$ ?

a)

1

b)

Does not Exist

c)

11

d)

0

8.

What is the x-intercept of $f\left(x\right)=\left(\frac{2}{3}\right)^x$ ?

a)

1

b)

Does not Exist

c)

11

d)

0

9.

What is the y-intercept of $f\left(x\right)=\left(\frac{2}{3}\right)^x$ ?

a)

1

b)

Does not Exist

c)

11

d)

0

10.

What is the horizontal asymptote of $f\left(x\right)=\left(\frac{2}{3}\right)^x$ ?

a)

All real numbers

b)

Does not Exist

c)

1

d)

0

11.

What is the vertical asymptote of $f\left(x\right)=\left(\frac{2}{3}\right)^x$ ?

a)

All real numbers

b)

Does not Exist

c)

1

d)

0

12.

What is the range of $f\left(x\right)=\left(\frac{2}{3}\right)^x$ ?

a)

All real numbers

b)

$\left(0,\ +\infty\right)$

c)

1

d)

0

13.

What is the domain of $f\left(x\right)=\left(\frac{2}{3}\right)^x$ ?

a)

All real numbers

b)

$\left(0,\ +\infty\right)$

c)

1

d)

0

14.

What is the domain of $f\left(x\right)=\left(-30\right)\left(\frac{2}{3}\right)^x$ ?

a)

All real numbers

b)

$\left(0,\ +\infty\right)$

c)

1

d)

0

15.

What is the range of $f\left(x\right)=\left(-30\right)\left(\frac{2}{3}\right)^x$ ?

a)

All real numbers

b)

$\left(0,\ +\infty\right)$

c)

1

d)

0

16.

What is the x-intercept of $f\left(x\right)=\left(-30\right)\left(\frac{2}{3}\right)^x$ ?

a)

All real numbers

b)

$\left(0,\ +\infty\right)$

c)

Does not exist

d)

-30

17.

What is the y-intercept of $f\left(x\right)=\left(-30\right)\left(\frac{2}{3}\right)^x$ ?

a)

All real numbers

b)

$\left(0,\ +\infty\right)$

c)

Does not exist

d)

-30

18.

What is the vertical asymptote of $f\left(x\right)=\left(-30\right)\left(\frac{2}{3}\right)^x$ ?

a)

0

b)

$\left(0,\ +\infty\right)$

c)

Does not exist

d)

-30

19.

What is the horizontal asymptote of $f\left(x\right)=\left(-30\right)\left(\frac{2}{3}\right)^x$ ?

a)

0

b)

$\left(0,\ +\infty\right)$

c)

Does not exist

d)

-30

20.

Exponential Growth: (a) ; Exponential Decay: (b)

Choose from the below words

$y=a\left(1+r\right)^t$

$y=a\left(1-r\right)^t$

$y=b^x$

21.

Compound Interest: (a) ; Depreciation: (b)

Choose from the below words

Exponential Growth

Exponential Decay

Exponential Function

Exponential Equation

Exponential Inequality

22.

Arrange the correct steps in solving the exponential equation: $2^{3x}=32$

a)

$2^{3x}=2^5$

b)

$3x=5$

c)

$\frac{3x}{3}=\frac{5}{3}$

d)

$x=\frac{5}{3}$

1)

2)

3)

4)

23.

George Washington’s wooden teeth are decaying rapidly. P(in grams) is the weight of the tooth after t years and can be modeled by P = 3.2(0.98)^t. How much did George’s teeth weigh after 225 years?

a)

0.01 grams

b)

0.02 grams

c)

0.03 grams

d)

0.04 grams

24.

The population of wolves in an area is represented by the equation $p\left(t\right)=800\left(0.95\right)^t$ where t is the number of years since the year 2000. Predict the number of wolves in the year 2012.

a)

429 wolves

b)

430 wolves

c)

431 wolves

d)

432 wolves

25.

The height of a bouncing ball (measured in inches) after $x$ bounces is represented by the equation $f\left(x\right)=120\left(0.75\right)^x$ . About how many highs does the ball bounce after the first bounce?

a)

90 inches

b)

91 inches

c)

92 inches

d)

93 inches

26.

The height of a bouncing ball (measured in inches) after $x$ bounces is represented by the equation $f\left(x\right)=120\left(0.75\right)^x$ . About how many highs does the ball bounce after the five bounces?

a)

27 inches

b)

28 inches

c)

29 inches

d)

30 inches

27.

$11^{2x-2}=121$

a)

0

b)

1

c)

2

d)

3

28.

$25^{2x-2}=625^x$

a)

0

b)

1

c)

2

d)

does not exist

29.

$5^{x-2}>25^x$

a)

$x>1$

b)

$x>-1$

c)

$x<1$

d)

$x<-1$

30.

$100^{5x-2}>10000^x$

a)

$x>2$

b)

$x>-2$

c)

$x<2$

d)

$x<-2$

31.

A function is considered exponential if the exponent of the base is polynomial.

a)

True

b)

False

c)

Maybe

d)

It depends

Exponential Function_Part_2

Total questions: 31

Worksheet time: 18mins

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