Absolute Value and Piecewise Functions

Describe the shift from the parent function of y = I x - 4 I 

• Left 4

• Right 4

• Up 4

• Down 4

What is the vertex of the following equation: -1/3|x - 5| + 7

• (5, 7)

• (-5, 7)

• (7, -5)

• (7, 5)

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

• A

• B

• C

• D

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

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

• x > 0

• x ≥ 0

• x > 2

• x ≥ 2

Match the graph with the correct equation.

• 
• 
• 
• 

• A

• B

• C

• D

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

• -3

• -1

• 1

• 3

What is f(-4)?

• -4

• 2

• -2

• 4

What is the DOMAIN of the function?

• (-∞, +∞)

• (-∞, 4]

• (-∞, 4)

• [0, 4]