Functions and Domain Range Interval

Determine the domain and range.

• D: (-∞, ∞); R: (-∞, ∞)

• D: (-3, 3); R: (0, 3)

• D: [-3, 3]; R: [3, 0]

• D: [-3, 3]; R: [0, 3]

State the domain and range using "inequality" notation.

• x ≥ -4 and y ≥ 2

• x ≥ 4 and y ≥ 2

• x > -4 and y > 2

• D: [-4, ∞) and R: [2, ∞)

Describe the intervals over which the given function is decreasing.

• (-∞, 0) U (2, ∞)

• (5, -4) U (2, -3)

• (-3, 0) U (2, 3)

• (5, -4) U (0, -3)

How would you describe the behavior of this function on the domain interval (-1, 1)?

• increasing

• decreasing

• constant

Describe the interval over which the given function is decreasing.

• (-∞, 4)

• (4, 3)

• (0, 1)

• (0, -∞)

Describe the interval over which the given function is constant.

• (-∞, ∞)

• (-3, -1) U (5, ∞)

• {-1, 1}

• (1, 1) U (-1, ∞)

Determine the domain of the function.

• (5, -∞)

• (-∞, 5]

• [5, ∞)

• [5, -∞)

Does the graph provided qualify as a function?

• yes

• no

On which interval(s) is the given function increasing?

• (-∞, 2) U (-2, ∞)

• (-2, 2) U (-2, ∞)

• (-∞, -2) U (0.5, ∞)

• (0, 2) U (0.5, ∞)

Which ordered pair identifies the *absolute minimum* point on this function?

• (-1, 0)

• (0, -3)

• (1, -4)

• (4, 0)