Quiz about Functions and Their Graphs

Question 1

Which equation corresponds to the graph below.

Accepted Answer

$$f\left(x\right)=3\cdot2^x-4$$

Answer

$$k\left(x\right)=3\cdot\left(\frac{1}{2}\right)^x+4$$

Answer

$$f\left(x\right)=3\cdot2^x+4$$

Answer

$$m\left(x\right)=3\left(\frac{1}{2}\right)^2-4$$

Question 2

Given the equation below determine the asymptote.

Accepted Answer

y = 0

Answer

(0, 1)

Answer

(0, 3)

Answer

x= 0

Question 3

Determine the asymptote of the equation below:

$$g\left(x\right)=4\cdot2^x+3$$

Accepted Answer

y = 3

Answer

y = 4

Answer

y = 2

Question 4

Identify which functions are exponential.

Accepted Answer

g(x) = 3x

Accepted Answer

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

Answer

f(x) = 2x - 5

Answer

k(x) = 3x⁴ - 6x + 9

Question 5

Sketch the graph of each function.

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

D.

Question 6

Find the interval(s) of increase of the graph shown.

Accepted Answer

(-4, -2)

Answer

(-6, -4)

Answer

(-2, 2)

Answer

(2, 5)

Answer

(5, 6)

Question 7

The graph of the rational function is shown to the left. What is the equation that represents this function?

Accepted Answer

$$f\left(x\right)=\frac{6\left(x+1\right)}{\left(x+3\right)\left(x-2\right)}$$

Answer

$$f\left(x\right)=\frac{3\left(x-2\right)}{\left(x+3\right)\left(x+1\right)}$$

Answer

$$f\left(x\right)=\frac{6\left(x-1\right)}{\left(x+3\right)\left(x-2\right)}$$

Answer

$$f\left(x\right)=\frac{\left(x+1\right)}{6\left(x+3\right)\left(x-2\right)}$$

Question 8

What are the restrictions on the domain of the following function?

Accepted Answer

$$x e-4$$ and $$x e5$$

Answer

$$x e4$$ only

Answer

$$x
e0$$

Answer

$$x e5$$ only

Question 9

Where is there a hole (point or removable discontinuity) in the graph of the following function?

Accepted Answer

$$x=-4$$ only

Answer

$$x=0$$ only

Answer

$$x=5$$ only

Answer

$$x=4$$ only

Question 10

Find the horizontal asymptote for the following function.

Accepted Answer

$$y=0$$

Answer

$$y=\frac{5}{8}$$

Answer

$$y=\frac{8}{5}$$

Answer

no horizontal asymptote

Question 11

Find the horizontal asymptote for the following function.

Accepted Answer

no horizontal asymptote

Answer

$$y=\frac{3}{4}$$

Answer

$$y=0$$

Answer

$$y=\frac{4}{3}$$

Question 12

Find the horizontal asymptote for the following function.

Accepted Answer

$$y=\frac{9}{4}$$

Answer

no horizontal asymptote

Answer

$$y=0$$

Answer

$$y=\frac{4}{9}$$

Question 13

The horizontal asymptote in the graph of $$f\left(x\right)=\frac{\left(5x+3\right)\left(2x-9\right)}{x\left(2x+1\right)}$$ is represented by which equation?

Accepted Answer

$$y=5$$

Answer

$$y=0$$

Answer

no horizontal asymptote

Answer

$$y=10$$

Question 14

The graph of the rational function is shown to the left. What is the equation that represents this function?

Accepted Answer

$$f\left(x\right)=\frac{2\left(x-5\right)}{5\left(x-2\right)}$$

Answer

$$f\left(x\right)=\frac{2\left(x-2\right)}{5\left(x-5\right)}$$

Answer

$$f\left(x\right)=\frac{5\left(x-1\right)}{2\left(x-5\right)}$$

Answer

$$f\left(x\right)=\frac{5\left(x-5\right)}{2\left(x-1\right)}$$

Question 15

The graph of the rational function is shown to the left. What is the equation that represents this function?

Accepted Answer

$$f\left(x\right)=\frac{4\left(x-6\right)}{\left(x-6\right)\left(x-2\right)}$$

Answer

$$f\left(x\right)=\frac{4\left(x-2\right)\left(x-6\right)}{\left(x-6\right)}$$

Answer

$$f\left(x\right)=\frac{4\left(x-2\right)}{\left(x-6\right)\left(x-6\right)}$$

Answer

$$f\left(x\right)=\frac{\left(x-6\right)}{4\left(x-6\right)\left(x-2\right)}$$

Question 16

Is the equation linear, exponential or neither?

Accepted Answer

Exponential

Answer

Linear

Answer

Neither

Question 17

What type of function is y = 7(5/4)^x?

Accepted Answer

Exponential Growth

Answer

Exponential Decay

Answer

Linear

Answer

None of the above

Question 18

What is g(7) if:

Accepted Answer

17

Answer

-17

Answer

-13

Answer

13

Question 19

Using the pictured graph, what is f(-3)?

Accepted Answer

-3

Answer

-1

Answer

1

Answer

3

Question 20

Question 20.

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Functions and Their Graphs

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