Intro to Piecewise

Functions that are made up of distinct "pieces" of other functions based on different rules for the domain are called?

• Absolute Value Functions
• Piecewise Functions
• Exponential Functions
• Quadratic Functions

Tags

CCSS.HSF.IF.C.7

What is the equation of the RED piece (one on the RIGHT)?

• x - 1  if x > 3
• 3  if  x ≥ 3
• -1  if  x ≥ 3
• -1  if  x > 3

Tags

CCSS.HSF-IF.C.7B

Portions of a piecewise function

• may be connected
• cannot be connected
• may be connected or may not be connected

Tags

CCSS.HSF.IF.C.7

CCSS.HSF.IF.B.4

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

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

How many pieces is this Piecewise Function composed of?

• 1
• 2
• 3
• 4

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

• A
• B
• C
• D

Tags

CCSS.HSF-IF.C.7B

Which equation represents the following graph?

• y = 3x + 2
• y = -2x + 3
• y = 2x + 3
• y = -3x + 2

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

What is the y-intercept in the equation?

y = (-2/3)x + 8

• -2/3

• 8

• -5

• 4

Find the equation of the line in slope-intercept form. 

• y = - 1/4x - 3
• y = 1/3x + 3
• y = - 1/4x + 2
• y = 1/3x -3

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10