Absolute Value and Piecewise Functions

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

• 1

• 2

• 3

• 4

Tags

CCSS.HSF-IF.C.7B

What is the equation and domain of the blue piece, labelled as "A"?

• f(x) = x + 1, x ≤ –1

• f(x) = x + 2, x ≤ –1

• f(x) = x, x ≤ –1

• f(x) = x – 1, x ≤ –1

Tags

CCSS.HSF-IF.C.7B

What is the equation and domain of the green piece, labelled as "C"?

• f(x) = 3x + 1, x ≥ 1

• f(x) = 3x, x ≥ 1

• f(x) = 3x – 1, x ≥ 1

• f(x) = 3x – 2, x ≥ 1

Tags

CCSS.HSF-IF.C.7B

What is the equation of the absolute value function?

• f(x)= |x+4|
• f(x)= |x-4|
• f(x)= |x| + 4
• f(x)= |x| - 4

Tags

CCSS.HSF-IF.C.7D

Which graph matches the function:
y = -2|x - 3| + 5

• A
• B
• C
• D

Which function is graphed?

• f(x) = 2|x + 2| -4
• f(x) = 2|x - 4| + 2
• f(x) = |x + 2| - 4
• f(x) = -2|x - 4|

Tags

CCSS.HSF-IF.C.7D

What is the vertex of the following function?
y=2|x-3|+1

• (2,3)
• (-3,1)
• (2,-3)
• (3,1)

Tags

CCSS.HSF-IF.C.7D

Which graph matches:

-x+4 if x<2

2x-6 if x>=2

• A

• B

• C

• D

Tags

CCSS.HSF-IF.C.7B

Pick the correct graph

• A
• B
• C
• D

Tags

CCSS.HSF-IF.C.7B

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