Function, Domain, Range, Intervals

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]

Describe the range of the given function using interval notation.

• (-∞, ∞)

• (-4, 5)

• [-3, 5]

• [-4, 5]

Which coordinate would qualify as the *absolute maximum* of this function?

• ∞

• (0, 4)

• 3

• (4, 0)

Determine the domain of the function.

• (5, -∞)

• (-∞, 5]

• [5, ∞)

• [5, -∞)

• D: {0, 1, 2, 3, 4, 5}

• R: {0, 96, 192, 288, 384, 480}

• D: all real numbers

• R: {0, 1, 2, 3, 4, 5}

• : {0, 96, 192, 288, 384, 480}

• D: {0, 96, 192, 288, 384, 480}

• R: all real numbers

Answer explanation

Domain - x values

Range - y values

Real-world examples = apply common sense and judgements

What is the range of the given function?

• [-1, 1]

• (-1, 1)

• (∞, -∞)

• (-∞, ∞)

Does the graph provided qualify as a function?

• yes

• no

Is this a function?

• no

• yes

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, ∞)

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, ∞)