Creating Piecewise Functions

Which piecewise function corresponds to this graph? (Take your time)

• f(x) = { x  if x < 4;   -x+1  if x ≥ 4
• f(x) = { x  if x ≤ 4;  -x+1  if x > 4
• f(x) = { -x+1  if x < 4;  x  if x ≥ 4
• f(x) = { -x+1  if x ≤ 4;  x if x > 4

Tags

CCSS.HSF-IF.C.7B

Select the correct graph for the following piecewise function.

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• 
• 

Tags

CCSS.HSF-IF.C.7B

What is the domain of the graph?

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• 
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Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Find f(1)

• f(1) = -3

• f(1) = 2

• f(1) = -1

• f(1) = 3

Tags

CCSS.HSF.IF.A.2

What is g(7) if:

• -17
• -13 
• 13       
• 17

Tags

CCSS.HSF.IF.A.2

Functions that are made up of distinct "pieces" of other functions defined over different intervals are called

• Absolute Value Functions

• Piecewise Functions

• Exponential Functions

• Quadratic Functions

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

• x ≥ 1
• x ≥ 2
• 2 ≤ x < 6
• 1 ≤ x < 3

Tags

CCSS.HSF-IF.C.7B

What are the domain restrictions for the red (1st line) piece of this function?

• x ≤ -2

• x ≤ 1.5

• x > -2
• x ≤ -1

Tags

CCSS.HSF-IF.C.7B

What is f(-2)?

• 4
• 1
• 1
• DNE

Tags

CCSS.HSF.IF.A.2

A house painter charges $12 per hour for the first 40 hours he works, $18 per hour for the ten hours after that, and $24 per hour for all hours after that. Use the piecewise function shown.

How much does he earn for a 70 hour week?

• $1020

• $1140

• $840

• He works for free!