Introduction to Exponential Functions

1.

Multiple Choice

30 sec

1 pt

In an exponential function, what does the 'a' represent?

SLOPE

RATE OF CHANGE

INITIAL AMOUNT

GROWTH OR DECAY FACTOR

2.

Multiple Choice

30 sec

1 pt

In an exponential function, what does the 'b' represent?

SLOPE

RATE OF CHANGE

INITIAL AMOUNT

GROWTH OR DECAY FACTOR

3.

Multiple Choice

30 sec

1 pt

What is the initial amount, for the function: f(x) = 300(1.16)^x?

300

1.16

.16

x

4.

Multiple Choice

30 sec

1 pt

What type of function is y = 7(6.25)^x?

Exponential Growth

Exponential Decay

Linear

None of the above

5.

Multiple Choice

45 sec

1 pt

What type of function is f(x)=2(¹/₇)^x ?

Exponential Growth

Linear

Exponential Decay

None of the Abovee

6.

Multiple Choice

30 sec

1 pt

If y = ab^x represents an exponential decay function, what are the possible values of b?

b = 1

b > 1

b < 0

0 < b < 1

7.

Multiple Choice

30 sec

1 pt

Is the Graph Linear, Exponential Growth, or Exponential Decay, Neither:

Linear

Exponential Growth

Exponential Decay

Neither

8.

Multiple Choice

45 sec

1 pt

Is the Graph Linear, Exponential Growth, or Exponential Decay, Neither:

Linear

Exponential Growth

Exponential Decay

Neither

9.

Multiple Choice

45 sec

1 pt

In an exponential function, what does the 'a' represent?

SLOPE

RATE OF CHANGE

Y-INTERCEPT

COMMON RATIO

10.

Multiple Choice

45 sec

1 pt

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

y = 15(35)^x

y = 15(1.35)^x

y = 15(0.35)^x

y = 35(1.15)^x

11.

Multiple Choice

45 sec

1 pt

Does the following equation represent an exponential growth or decay function?

f(x) = 34(0.05)^x

Growth because 34 is greater than 1

Growth because 0.05 is between 0 and 1

Decay because 34 is greater than 1

Decay because 0.05 is between 0 and 1

12.

Multiple Choice

45 sec

1 pt

Does the following equation represent an exponential growth or decay function?

f(x) = 3(5.10)^x

Growth because 3 is greater than 1

Growth because 5.10 is greater than 1

Decay because 3 is greater than 1

Decay because 5.10 is not between 0 and 1

13.

Multiple Choice

45 sec

1 pt

Given y = 3(2.5)^x

What does 2.5 represent?

Initial Amount

y-intercept

Growth Factor

Growth Rate

14.

Multiple Choice

45 sec

1 pt

Given y = (6)^x

What is the initial amount?

6

1

0

-6

15.

Multiple Choice

45 sec

1 pt

If y = ab^x represents an exponential growth function, what are the possible values of b?

b = 1

b > 1

b < 0

0 < b < 1

16.

Multiple Choice

45 sec

1 pt

Given f(x) = 1,000(0.30)^x

What is the decay rate as a percent?

0.30%

30%

0.70%

70%

17.

Multiple Choice

45 sec

1 pt

Given f(x) = 7.05(0.25)^x

What is the decay rate as a percent?

75%

0.75%

750%

.075%

18.

Multiple Choice

45 sec

1 pt

Given f(x) = 5(1.25)^x

What is the growth rate as a percent?

1.25%

25%

75%

.25%

19.

Multiple Choice

45 sec

1 pt

Given f(x) = 8(1.05)^x

What is the growth rate as a percent?

50%

.5%

5%

.05%

20.

Multiple Choice

45 sec

1 pt

The breakdown of a sample of a chemical compound is represented by the function p(t) = 300(0.5)^t , where p(t) represents the number of milligrams of the substance and t represents the time, in years. In the function p(t), explain what 0.5 and 300 represent.

300 is the initial amount and 0.5 is the growth factor

300 is the initial amount and 0.5 is the decay factor

0.5 is the initial amount and 300 is the growth factor

0.5 is the initial amount and 300 is the decay factor

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