Step Functions Piecewise Functions

What is the DOMAIN?

• (-∞, +∞)

• (-∞, -1] U [3, +∞)

• [-1, +∞)

• (-∞, -1) U (-1, +∞)

What is f(13)?

• 34

• 4

• 166

• cannot be determined

Where are the discontinuities of this function, if any exist?

• at x = -3 and x = 1

• at x = -3

• at x = 1

• there aren't any

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)

Select ALL the statements that are true.

• f(10) = -3

• f(6) = -3

• There are 2 y-intercepts

• The domain is [-10, 10]

• The range is [-7, 4)

Determine the interval of increase.

• (-2, 2)

• (0, 2]

• (0, 2)

• (0, 4)

Which statement is FALSE?

• -4 is included in the domain, but 4 is not

• The interval of decrease is (-4, 0)

• The interval of increase is (-1, 2)

• The interval of increase is (0, 2)

Which is the correct interval of increase?

• (-10, 0) U (3, 6) U (8, ∞)

• [-10, 0) U [3, 6] U [8, ∞)

• (-10, ∞)

• [-8, 4)

Identify the correct range.

• (-∞, ∞)

• [-7, -3] U [-1, 4)

• [-7, 4)

• [-10, 10]

• A
• B
• C
• D