Graphing Piecewise Defined Functions

Which of the piecewise functions matches this graph?

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• 
• 
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Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Evaluate f(3)

• -4

• 8

• -2

• -1

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

Evaluate f(-4)

• -4

• -8

• 2

• 1

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

Evaluate f(-1)

• -2

• -3

• 11

• -5

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

Evaluate f(-4)

• -2

• -3

• 11

• -5

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

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

• 1

• 2

• 3

• 4

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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.B.4

CCSS.HSF.IF.C.7

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

• -3
• -1
• 1
• 3

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.B.4

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

• -2 < x ≤ 1
• -1 < x ≤ 0.5
• x > -2
• x ≤ 1

Tags

CCSS.HSA.CED.A.3

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.5

 Read the definition of piecewise functions. How many "pieces" does $f\left(x\right)$  have?

• 1

• 2

• 3

• 4

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7