Quiz about Exponential Functions Features

Question 1

Use the table to find the y-intercept of this exponential function:

Accepted Answer

6

Answer

1

Answer

12

Answer

0

Question 2

Use the table to find the scale factor of this exponential function:

Accepted Answer

2

Answer

12

Answer

1

Answer

6

Question 3

Use the graph to find the y-intercept of this exponential equation:

Accepted Answer

3

Answer

0

Answer

6

Answer

9

Question 4

The population of a city in New York doubles every decade. Is this a linear or exponential type of equation?

Accepted Answer

Exponential

Answer

Linear

Question 5

Which equation matches the graph?

Accepted Answer

y = 2-x

Answer

y = 2x+3

Answer

y = 2^x + 3

Answer

y = 2x

Question 6

What is the y-intercept of the exponential equation $$y=2\cdot4^x$$ ?

Accepted Answer

2

Answer

4

Answer

x

Question 7

What is the y-intercept of the exponential equation $$y=-7\cdot9^x$$ ?

Accepted Answer

-7

Answer

9

Answer

7

Question 8

Which of the following statements are true about the function below? Select all that apply.
f\left(x\right)=0.5\left(2\right)^x-1

Accepted Answer

The function represents exponential growth

Accepted Answer

The horizontal asymptote is $$y=-1$$

Accepted Answer

The domain is all real numbers $$\left(-\infty,\ \infty\right)$$

Answer

The y-intercept is $$\left(0,\ 0.5\right)$$

Answer

The range is all real numbers $$\left(-\infty,\ \infty\right)$$

Question 9

Which of the following statements are true of the exponential function? Select all that apply.

Accepted Answer

The graph has been shifted up 3 units from the parent function.

Accepted Answer

The range is $$y>3$$

Answer

The y-intercept is $$\left(0,\ 1\right)$$

Answer

The function represents exponential growth.

Answer

The domain is $$x>-2$$

Question 10

Which function models the values in the table?

Accepted Answer

$$f\left(x\right)=125\left(\frac{1}{5}\right)^x$$

Answer

$$f\left(x\right)=125\left(5\right)^x$$

Answer

$$f\left(x\right)=125-5^x$$

Answer

$$f\left(x\right)=125-5x$$

Question 11

Which statement describes the end behavior of the function above?

Accepted Answer

$$As\ x\longrightarrow-\infty,\ y\longrightarrow0$$ $$as\ x\longrightarrow+\infty,\ y\longrightarrow-\infty$$

Answer

$$As\ x\longrightarrow-\infty,\ y\longrightarrow+\infty$$ $$as\ x\longrightarrow+\infty,\ y\longrightarrow-\infty$$

Answer

$$As\ x\longrightarrow-\infty,\ y\longrightarrow0$$ $$as\ x\longrightarrow+\infty,\ y\longrightarrow-5$$

Answer

$$As\ x\longrightarrow-\infty,\ y\longrightarrow+\infty$$

$$as\ x\longrightarrow+\infty,\ y\longrightarrow0$$

Question 12

Which equation models the graph?

Accepted Answer

$$y=1\cdot2^x$$

Answer

$$y=1+2x$$

Answer

$$y=2x$$

Answer

$$y=2\cdot1^x$$

Question 13

Which function models exponential decay?

Accepted Answer

$$f\left(x\right)=5\left(0.99\right)^x$$

Answer

$$g\left(x\right)=\left(\frac{3}{2}\right)^x+2$$

Answer

$$h\left(x\right)=1.01^x$$

Answer

$$y=0.5\left(2\right)^x$$

Question 14

The population of deer in a certain town was 10,000 in 2015. Each year the population has decreased by 10%. That is, each year the population is 90% of what it was the previous year. Which equation models the population of deer since 2015?

Accepted Answer

$$d\left(t\right)=10000\left(0.9\right)^t$$

Answer

$$d\left(t\right)=10000-90t$$

Answer

$$d\left(t\right)=10000-10t$$

Answer

$$d\left(t\right)=10000\left(0.10\right)^t$$

Exponential Functions Features

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