Quiz about Describe Exponential Functions

Question 1

Write an equations that models the data shown.

Accepted Answer

$$y=3\cdot2^x$$

Answer

Answer

Question 2

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

Accepted Answer

$$f\left(x\right)=1600\cdot2^x$$

Answer

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

Answer

$$f\left(x ight)=1600 imes2$$

Question 3

Describe the function:

Accepted Answer

exponential decay

Answer

exponential growth

Question 4

Describe the function:

Accepted Answer

exponential growth

Answer

exponential decay

Question 5

The half-life of ibuprofen is 1-hour. You take 400 mg of ibuprofen. Write an exponential equation that could be used to find the amount of ibuprofen you have remaining in your body after x hours.

Accepted Answer

$$y=400\left(\frac{1}{2}\right)^x$$

Answer

$$y=400\left(2\right)^x$$

Answer

$$y=400-2^x$$

Answer

$$y=400-\left(\frac{1}{2}\right)^x$$

Question 6

What is the equation of the asymptote of the function?

Accepted Answer

y=0

Answer

y=50

Answer

y=100

Answer

y=25

Question 7

Does the function represent exponential growth or decay?

Accepted Answer

Growth

Answer

Decay

Question 8

Identify the horizontal asymptote of the exponential function: katex latex="y=3\left(\frac{1}{2}\right)^x"

Accepted Answer

y=0

Answer

y=3

Answer

y=1/2

Answer

x=3

Question 9

$$y=5\left(\frac{1}{3}\right)^{\left(x-1\right)}$$

Identify the horizontal asymptote for the exponential function:

Accepted Answer

y = 0

Answer

x = -1

Answer

y = -1

Answer

y = 1

Question 10

Identify the domain of the exponential function: $$y=5\left(\frac{1}{3}\right)^{\left(x-1\right)}$$

Accepted Answer

All real numbers

Answer

y > 1

Answer

y > -1

Answer

x > -1

Question 11

Identify the range of the exponential function: $$y=5\left(\frac{1}{3}\right)^{\left(x-1\right)}$$

Accepted Answer

y > 0

Answer

y > 1

Answer

All real numbers

Answer

y > -1

Question 12

Identify the y-intercept of the graph of the exponential function: y=3\left(\frac{1}{2}\right)^x

Accepted Answer

(0,3)

Answer

(3,0)

Answer

(1/2, 0)

Answer

(0,0)

Question 13

What is the equation of the horizontal asymptote?

Accepted Answer

y=0

Answer

y=1

Question 14

What is the x-intercept of the exponential function?

Accepted Answer

There is not one

Answer

(0,1)

Answer

(0,0)

Describe Exponential Functions

15 questions

Write an equations that models the data shown.

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

Describe the function:

Describe the function:

The half-life of ibuprofen is 1-hour. You take 400 mg of ibuprofen. Write an exponential equation that could be used to find the amount of ibuprofen you have remaining in your body after x hours.

What is the equation of the asymptote of the function?

Does the function represent exponential growth or decay?

Identify the horizontal asymptote of the exponential function: katex latex="y=3\left(\frac{1}{2}\right)^x"

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