Piecewise Functions Graph

Select ALL the statements that are true.

• The constant interval is [-4, 2]

• The interval of increase is (-6, -4)

• The interval of decrease is (-9, -6) U (2, ∞)

• There is a discontinuity at x = 2

• The range is (-∞, 8)

What is the domain and range of the function shown?

• domain:  [-4, 4)     range:  [-1, 4]

• domain:  (-4, 4)     range:  [-1, 4]

• domain:  [-1, 4)     range:  (-1, 4)

• domain and range:  [-4, 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

Which of the 3 piecewise equations is depicted by the graph? (Take your time!) (Hint: think about everything you know about graphs and how they should behave)

• f(x)

• g(x)

• h(x)

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

• A

• B

• C

• D

• A
• B
• C
• D

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

• A

• B

• C

• D

Graph

• 
• 
• 
• 

Graph

• 
• 
• 
• 

Pick the correct graph

• A

• B

• C

• D