Piecewise Defined Functions

What is f(-4)?

• -4

• 2

• -2

• 4

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

• -2 < x ≤ 1

• -1 < x ≤ 0.5

• x > -2

• x ≤ 1

What is f(2)?

• 0

• -5

• -2

• 1

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

What is the equation of the graph below? You can click the picture to zoom in!

• y = - | x + 2| + 4

• y = - | x - 2| + 4

• y = | x - 2 | + 4

• y = | x - 2| - 4

What is the DOMAIN of the function?

• (-∞, +∞)

• (-∞, 4]

• (-∞, 4)

• [0, 4]

What is f when x equals 4?

• -5

• 0

• 3

• 6

Which graph matches:
4-x for x<2
2x-6 for x>=2

• A

• B

• C

• D

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

• x > 0

• x ≥ 0

• x > 2

• x ≥ 2

A piecewise function (f(x)) is shown in the graph. What is f when x equals 2?

• 0

• 3

• 4

• Does not exist