Create Piecewise Functions

Which graph matches:

-x+4 if x < 2

2x-6 if x ≥ 2

• A

• B

• C

• D

What is m(-3) if:    

• -3

• 0.5

• 3

• -3.5

On the graph, which portion of the piecewise function is represented in red?

• x

• 0.5x + 2.5       

• -1

• 0.5x + 2

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

• -2 < x ≤ 1

• -1 < x ≤ 0.5

• x > -2

• x ≤ 1

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

• x ≥ 1

• x ≥ 2

• 2 ≤ x < 6

• 1 ≤ x < 3

What is this type of function called?

• Discrete Function 

• Segment Function

• Step Function

• Jump Function

Evaluate the function when x = 6 

• f(6) = -5

• f(6) = 4

• f(6) = 2

• f(6) = 7

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

• $50

• $100

• $150

• $175

Is this a function? Explain.

• No. Does not pass the vertical line test.
  

• No. Does not pass the horizontal line test.
  

• Yes. Passes the vertical line test.
  

• Yes. Passes the horizontal line test.
  

If you have $75, how many days can you rent the Karaoke machine?

• 0 days

• 1 day

• 2 days

• 3 days