Piecewise-Defined Functions

What is f when x equals 4?

• -5
• 0
• 3
• 6

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

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

What is f(6)?

• 20
• 33
• 3
• 3, -3

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

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.HSF-IF.C.7B

What is f(2)?

• 0
• 1
• 2
• -1

Tags

CCSS.HSF.IF.A.2

What is f(2)?

• 0
• -5
• -2
• 1

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

The amount Lea can earn at her job is shown:
She earns $7 per hour for the first 40 hours. 
She earns 1.5 times the hourly wage for every hour over 40 hours. 
Which piecewise-defined function best represents Lea’s weekly pay, P(h), where h represents the hours worked?

• P(h)= 7h,   0≤h≤40
  P(h)=10.5h−140,   h>40
• P(h)= 7h,   0<h<40
  P(h)= 10.5h−140,     h>40
• P(h)= 7h,     0≤h≤40
  P(h)= 10.5h+140,     h≥40
• P(h)=   7h, 0<h<40  P(h)= 10.5h+140,   h≥40

Determine the transformation 

• left 3, up 2
• right 3, up 2
• left 3, down 2
• right 3, down 2

Tags

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

CCSS.HSG.CO.B.6

Determine the transformation

• Stretch by factor of 2, left 3
• Shrink by factor of 2, left 3
• Stretch by factor of 2, right 3
• Shrink by factor of 2, right 3

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

Describe each transformation

• stretch by factor of 1/4, right 3, down 1
• stretch by factor of 1/4, right 3, up 1
• stretch by factor of 1/4, left 3, down 1
• stretch by factor of 1/4, left 3, up 1

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

CCSS.HSG.SRT.A.1