Quiz about Key Features and Transforming Exponential Functions

Question 1

Would this function represent exponential growth or decay?

Accepted Answer

Exponential growth

Answer

Exponential decay

Answer

Both

Answer

Neither

Question 2

The range of an exponential function depends on the....

Accepted Answer

horizontal asymptote

Answer

x-values

Answer

x-intercept

Answer

y-intercept

Question 3

Name the transformation(s) of this function compared to it's parent function:

y=3\left(2\right)^x-3

Accepted Answer

more steep, down 3

Answer

more steep, up 3

Answer

less steep, left 3

Answer

less steep, right 3

Question 4

Name the transformation(s) of this function compared to it's parent function:

Accepted Answer

flips, less steep

Answer

down 1/2

Answer

right 1/2

Answer

flips, more steep

Question 5

What is the horizontal asymptote of this function?

Accepted Answer

$$y=-3$$

Answer

$$x=3$$

Answer

$$x=-3$$

Answer

$$y=3$$

Question 6

What is the range of this function?

Accepted Answer

$$y<-5$$

Answer

$$y<5$$

Answer

$$y\le5$$

Answer

$$y\le-5$$

Question 7

What is the horizontal asymptote of this function?

Accepted Answer

$$y=-6$$

Answer

$$x=1$$

Answer

$$x=6$$

Answer

$$y=480$$

Question 8

Would this function represent exponential growth or decay?

Accepted Answer

Exponential decay

Answer

Exponential growth

Answer

Both

Answer

Neither

Question 9

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 10

Which equation models the graph?

Accepted Answer

$$y=1\cdot2^x$$

Answer

$$y=1+2x$$

Answer

$$y=2x$$

Answer

$$y=2\cdot1^x$$

Question 11

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 12

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 13

Which of the following describe the correct transformations of from ? Select all that apply.

Accepted Answer

The graph of $$f\left(x\right)$$ is shifted to the right 1 unit

Accepted Answer

The graph of $$f\left(x\right)$$ is shifted up 3 units

Answer

The graph of $$f\left(x\right)$$ is shifted to the left 1 unit

Answer

The graph of $$f\left(x\right)$$ is shifted down 3 units

Answer

The graph of $$f\left(x\right)$$ is reflected vertically

Question 14

Which statement describes the end behavior of the function above?

Accepted Answer

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

$$as\ x\longrightarrow+\infty,\ y\longrightarrow3$$

Answer

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

Answer

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

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

Answer

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

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

Question 15

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

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

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

Key Features and Transforming Exponential Functions

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