Piecewise Functions

Choose the graph that correctly represents the piecewise function.

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Choose the equation that correctly represents the graphed piecewise function.

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Find the value of f(-2) given the following graph.

• 1

• 4

Find the value of f(3) given the following graph.

• 1

• 0

• 3

How much does he earn for a 70 hour week?

• $1020

• $1140

• $840

• He works for free!

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

• -2 < x ≤ 1

• -1 < x ≤ 0.5

• x > -2

• x ≤ 1

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

• x ≥ 1

• x ≥ 2

• 2 ≤ x < 6

• 1 ≤ x < 3

Identify the domain for this function.