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Exponential Functions Review

Total questions: 15

Worksheet time: 15mins

Name
Class
Date
1.

Based on the graph, which statement does not appear to be true?

a)

The company opened 400 stores by the end of 1992

b)

Every year the number of stores opened increased by 25%

c)

The company opened 100 stores in 1 year

d)

Since 1992, the company has opened 250 stores each year

2.

Which value is closest to the amount of land the toads will occupy after 40 years?

a)

800,000 km2800,000\ km^2

b)

550,000 km2550,000\ km^2

c)

600,000 km2600,000\ km^2

d)

1,250,000 km21,250,000\ km^2

3.

Which best describes the graph given?

a)

Exponential Decay, asymptote at y = -1

b)

Exponential Growth, asymptote at y = 0

c)

Exponential Growth, asymptote at y = -1

d)

Exponential Decay, asymptote at y = 0

4.

What is the constant ratio of the table?

a)

33

b)

13\frac{1}{3}

c)

66

d)

11

5.

What type of pattern do exponential functions have?

a)

Adds or subtracts by the same number every time

b)

Multiplies or divides by the same number every time

c)

Square roots all the inputs

6.

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

a)

Input

b)

Rate of change

c)

Y-intercept/Initial value

d)

Output

7.

Which equation is represented by the table?

a)

y = 40(2)x

b)

y = 40(1/2)x

c)

y = 40 - 2x

d)

y = 40 - 1/2x

8.

Write the function for the following table:

a)

f(x) = 5x + .08

b)

f(x)= 5x + 2

c)

f(x) = .08(5)x

d)

f(x)= 2(5)x

9.

Suppose the population of a species of insects doubles every year. The function gives the number of insects after x years. How many insects will there be after 3 years?

a)

9600

b)

12,800

c)

200

d)

8000

10.

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

a)

Input

b)

Rate of change

c)

Y-intercept

d)

Output

11.

Write the function for the following table:

a)

f(x)= 1(2)x

b)

f(x)= 2(1)x

c)

f(x) = 2x+1

d)

f(x)= x+2

12.

Which table represents the following equation?

a)
b)
c)
d)
13.

Write an equations that models the data shown.

a)

y=3x+6y=3x+6

b)

y=32xy=3\cdot2^x

c)

y=2x+3y=2x+3

14.

Suppose the population of a species of insects doubles every year. There are 1600 insects initially. The function for the scenario would be?

a)

f(x)=2x+1600f\left(x\right)=2x+1600

b)

f(x)=1600×2f\left(x\right)=1600\times2

c)

f(x)=16002xf\left(x\right)=1600\cdot2^x

15.

The function  f(x)=16002xf(x)=1600\cdot2^x   gives the number of insects after x years. How many insects were there initially?

a)

1600

b)

2

c)

There is not enough information to tell.