Quiz about Exponential Graph End Behaviors

Question 1

The graph of the exponential function f is shown above. Which of the following pairs of limit statements describing the end behavior of f is correct?

Accepted Answer

Question 2

The graph of the exponential function f has the given end behaviors. Which of the following could be the graph of f?

Accepted Answer

Question 3

The graph of the exponential function h is shown above. Which of the following could be the expression for h?

Accepted Answer

Question 4

Which of the following statements about the graph of g is correct?

Accepted Answer

g is decreasing at a decreasing rate.

Answer

g is increasing at an increasing rate.

Answer

g is increasing at a decreasing rate.

Answer

g is decreasing at an increasing rate.

Question 5

Fill in the blank for the following Graph $$x\longrightarrow-\infty\ \ f\left(x\right)\longrightarrow_{ }$$
$$x\longrightarrow\infty\ \ f\left(x\right)\longrightarrow\ \infty$$

Accepted Answer

$$-3$$

Answer

$$-2$$

Answer

$$-1$$

Answer

$$0$$

Question 6

The graph of the exponential function g has the given end behaviors. Which of the following could be an equation for g?

Accepted Answer

Question 7

The graph of the exponential function $$f$$ is shown. Which of the following pairs of limit statements describing the end behavior of $$f$$ is correct?

Accepted Answer

$$\lim_{x\rightarrow-\infty}f\left(x\right)=0\ and\ \lim_{x\rightarrow\infty}f\left(x\right)=\infty$$

Answer

$$\lim_{x\rightarrow-\infty}f\left(x\right)=-\infty\ and\ \lim_{x\rightarrow\infty}f\left(x\right)=\infty$$

Answer

$$\lim_{x\rightarrow-\infty}f\left(x\right)=\infty\ and\ \lim_{x\rightarrow\infty}f\left(x\right)=0$$

Answer

$$\lim_{x\rightarrow0}f\left(x\right)=-\infty\ and\ \lim_{x\rightarrow\infty}f\left(x\right)=\infty$$

Question 8

The graph of the exponential function f has the following end behaviors: $$\lim_{x\rightarrow-\infty}f\left(x\right)=\infty\ and\ \lim_{x\rightarrow\infty}f\left(x\right)=0$$ Which of the following could be the graph of f?

Accepted Answer

Question 9

The graph of the exponential function h is shown. Which of the following could be the expression for h?

Accepted Answer

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

Answer

$$h\left(x\right)=-2\left(\frac{2}{3}\right)^x$$

Answer

$$h\left(x\right)=-\frac{2}{3}\left(2\right)^x$$

Answer

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

Question 10

The graph of the exponential function g has the following end behaviors:

$$\lim_{x\rightarrow-\infty}g\left(x\right)=0\ and\ \ \lim_{x\rightarrow\infty}g\left(x\right)=-\infty$$

Which of the following could be an equation for g?

Accepted Answer

$$g\left(x\right)=-\frac{1}{2}\left(3\right)^x$$

Answer

$$g\left(x\right)=-3\left(\frac{1}{2}\right)^x$$

Answer

$$g\left(x\right)=3\left(\frac{1}{2}\right)^x$$

Answer

$$g\left(x\right)=\frac{1}{2}\left(3\right)^x$$

Question 11

Let h be an exponential function defined by $$h\left(x\right)=5\left(\frac{\pi}{3}\right)^x$$ . Which of the following statements is correct?

Accepted Answer

h is increasing and the graph of h is concave up

Answer

h is increasing and the graph of h is concave down

Answer

h is decreasing and the graph of h is concave up

Answer

h is decreasing and the graph of h is concave down

Question 12

Choose all of the following function types that have a Horizontal Asymptote.

Accepted Answer

Exponential

Accepted Answer

Reciprocal

Answer

Linear

Answer

Quadratic

Answer

Cubic

Question 13

What type of function is this?

Accepted Answer

Exponential Function

Answer

Quadratic Function

Answer

Cubic Function

Answer

Absolute-Value Function

Answer

Linear Function

Question 14

What type of function is this equation?

y= 4^x+1

Accepted Answer

Exponential Function

Answer

Absolute-Value

Answer

Cubic Function

Answer

Quadratic Function

Answer

Linear Function

Exponential Graph End Behaviors

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