Quiz about Graphing Piecewise and Step Functions

Question 1

The graph represents a piecewise function. How many pieces make up the function?

Accepted Answer

3

Answer

1

Answer

2

Answer

4

Question 2

Classify the function whose graph is shown.

Accepted Answer

Piecewise Linear

Answer

Piecewise Exponential

Answer

Piecewise Quadratic

Answer

Absolute Value

Question 3

What is the function rule for this graph?

Accepted Answer

Answer

$$f\left(x\right)=\left|x\right|$$

Answer

$$f\left(x\right)=\sqrt{x}$$

Answer

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

Question 4

Name the discontinuity at x=2.

Accepted Answer

Jump Discontinuity

Answer

Infinite Discontinuity

Answer

Removable Discontinuity

Answer

Continuous at x=2

Question 5

The graph represents a piecewise function. How many pieces make up the function?

Accepted Answer

2

Answer

1

Answer

3

Answer

4

Question 6

This is an example of a

Accepted Answer

discrete step function

Answer

discrete linear function

Answer

discrete scatterplot

Question 7

What is this type of function called?

Accepted Answer

C

Step Function

Answer

A

Discrete Function

Answer

B

Segment Function

Answer

D

Jump Function

Question 8

Which graph matches:
4-x for x<2
2x-6 for x>=2

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 9

Write the equation of the THIRD (rightmost) piece of the piecewise function for the following image. Click to enlarge.

Accepted Answer

$$f\left(x\right)=\frac{1}{2}x+5,\ \ \ 4

Answer

$$f\left(x\right)=\frac{1}{2}x+5,\ \ \ 4\le x\le8$$

Answer

$$f\left(x\right)=\frac{2}{3}x+5,\ \ 4\le x\le8$$

Answer

$$f\left(x\right)=\frac{2}{3}x+5,\ \ 4

Question 10

What is the boundary line for the given piecewise function?

Accepted Answer

x=-2

Answer

x=-4

Answer

x=5

Answer

x=1

Question 11

Create a piecewise function for the following graph.

Accepted Answer

$$y=\left\{\frac{x-1\ if\ x\ge0}{-2x+1\ if\ x<0}\right\}$$

Answer

$$y=\left\{\frac{-x-3\ if\ x\ge-1}{x-1\ if\ x<-1}\right\}$$

Answer

$$y=\left\{\frac{x-1\ if\ x\ge-1}{-2x+1\ if\ x>1}\right\}$$

Answer

$$y=\left\{\frac{x-1\ if\ x\ge-1}{-2x+1\ if\ x<1}\right\}$$

Question 12

Given the following function, on which interval is the function positve?

Accepted Answer

$$-1<x<7$$

Answer

$$x<4$$

Answer

$$x>4$$

Answer

$$x<3$$

Question 13

Question 13.

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Graphing Piecewise and Step Functions

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