Piecewise Defined Functions

Functions that are made up of distinct "pieces" of other functions defined over different intervals are called

• Absolute Value Functions

• Piecewise Functions

• Exponential Functions

• Quadratic Functions

Find f(2)

• f(2) = 0

• f(2) = 1

• f(2) = 3

• f(2) = 4

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

• 1

• 2

• 3

• 4

What is f(-1)?

• 6

• -2

• sqrt(2)

• DNE

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

Match the following intervals to the correct increasing, decreasing, constancy, domain, and range for the piecewise graph.

• Range

• Constant

• N/A

• Increasing Interval

• Decreasing Interval

• Domain

Over which domain interval is the function behaving like a linear function?

• x > 2

• x ≥ 2

• x ≤ 2

• x < 2

Is the following a function?

• yes

• no