Quiz about Study Guide for Exponential Functions

Question 1

16^x-7+5=24

Accepted Answer

8.062

Answer

9.6

Answer

8

Answer

7.5

Question 2

You have inherited land that was purchased for $30,000 in 1960. The value of the land increased by approximately 5% per year. What is the approximate value of the land in the year 2011?

Accepted Answer

$361,223.09

Answer

$15,000.00

Answer

$31,500.29

Answer

$280,500.86

Question 3

If $1,000 is invested at 16% interest, compounded continuously, for five years, what is the ending balance?

Accepted Answer

$2,225.54

Answer

$1,225,54

Answer

$22,255.40

Answer

$225.54

Question 4

You buy a new computer for $2100. The computer decreases by 50% annually. When will the computer have a value of $600?

Accepted Answer

between 1 and two years

Answer

more than 5 years

Answer

less than a year

Answer

between 3 and 4 years

Question 5

What is the domain of the function shown?

Accepted Answer

All real numbers

Answer

Answer

All real numbers greater than 1

Answer

Question 6

Which represents exponential decay?

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 7

Which of the following is an exponential function?

Accepted Answer

f(x) = 3x

Answer

y = x2

Answer

f(x) = 3x³

Answer

y = x3

Question 8

Is the pictured graph growth, decay, or linear or none?

Accepted Answer

Exponential Growth

Answer

Exponential Decay

Question 9

Write an equation that models the following situation:
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.

Accepted Answer

y=6(1.14)^x

Answer

y=6(0.14)^x

Answer

y=6(1+14)^x

Answer

y=6(0.86)^x

Question 10

What is the range of the function shown?

Accepted Answer

Answer

All real numbers

Answer

All real numbers greater than 1

Answer

Question 11

Is the following function and example of decay or growth?

f(x)=2(0.85)^x

Accepted Answer

Exponential Decay

Answer

Exponential Growth

Question 12

The line shown on the graph is an asymptote for the exponential curve shown on the graph.

Accepted Answer

FALSE

Answer

TRUE

Question 13

The value of an account after k years can be found using the model $$f\left(k\right)=300\left(1.035\right)^k$$ . What is the percent annual rate of change in the value of the account?

Accepted Answer

3.5%

Answer

35%

Answer

96.5%

Answer

0.35%

Question 14

This equation below models the value of a computer bought in 2014.

What is the decay rate?

$$y=2,500\left(0.78\right)^x$$

Accepted Answer

22%

Answer

78 %

Answer

28%

Answer

0.78%

Question 15

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

Accepted Answer

y = 15(1.35)^x

Answer

y = 15(35)^x

Answer

y = 15(0.35)^x

Answer

y = 35(1.15)^x

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