Piecewise & Step Functions

Multiple Choice

Name that function:

• square root

• absolute value

• linear

• quadratic

Multiple Choice

Name the type of function:

• piecewise function

• linear function

• quadratic function

• step function

Piecewise Functions

• Remember to look at the inequality symbols for open or closed circles and to see which way to connect the dots.

• You also need to look here for function notation.

• f(0) = -4 and f(2) = 1

Multiple Choice

Evaluate f(-5)

• 0

• 2

• 5

• -4

Multiple Choice

Given the piecewise function, evaluate $$f\left(2\right)$$  

• 2

• 6

• -2

• 14

Multiple Choice

Does the following relation represent a function?

• yes it passes the vertical line test

• no it doesn't pass the vertical line test

• yes it passes the horizontal line test

• no it doesn't pass the horizontal line test

Multiple Choice

Which of functions represents the graph?

Multiple Choice

Which type of function does the graph represent?

• Horizontal Function

• Linear Function

• Step Function

• Exponential Function

Multiple Choice

How much does it cost to rent the Karaoke machine for 3 days?

• $125

• $100

• $150

• $75

Multiple Choice

Morgan can start wrestling at age 5 in Division 1. He remains in that division until his next odd birthday when he is required to move up to the next division level. Which graph correctly represents this information?

Multiple Choice

Evaluate  $$f\left(4\right)$$  

• 2

• 4

• 6

• 0

Multiple Choice

Which graph represents g(x)?

Multiple Choice

What is the domain restriction of the blue piece of this function?

• x > 0

• x ≥ 0

• x > 2

• x ≥ 2

Multiple Choice

Using the pictured graph, what is  $$f\left(-3\right)$$  ?

• $$-3$$  

• $$-1$$  

• $$1$$  

• $$3$$  

Multiple Choice

What are the domain restrictions for the green piece of this function?

• $$-2<x\le1$$

• $$-1<x\le0.5$$

• $$x\le-2$$

• $$x>-2$$  

Multiple Choice

Is the following a function?

• yes

• no

• not enough information

Multiple Choice

Which graph matches the piecewise function?

Multiple Choice

Graph each function. State the domain and range.

Multiple Choice

Graph each function. State the domain and range.

Multiple Choice

Graph each function. State the domain and range.

Multiple Choice

What is the range of the following function?

• $$\left(-\infty,\infty\right)$$

• $$\left(-\infty,1\right]$$

• $$\left(-\infty,1\right)$$