Domain and Range Parent Functions

What are the domain and range?

• Domain: -5 ≤ x < 5

  Range: 3 ≤ y < 6

• Domain: -5 ≤ x < 5

  Range: 0 ≤ y < 6

• Domain: -5 < x ≤ 5

  Range: 3 ≤ y < 6

• Domain: -5 < x ≤ 5

  Range: 0 ≤ y < 6

What are the domain and range?

• Domain: {x | all real numbers}

  Range: {y | y ≥ 4}

• Domain: {x | x ≥ 4}

  Range: {y | all real numbers}

• Domain: {x | all real numbers}

  Range: {y | y ≤ 4}

• Domain: {x | x ≤ 4}

  Range: {y | all real numbers}

What are the domain and range?

• Domain: (-∞, -1]

  Range: (-∞, 1]

• Domain: [1, ∞)

  Range: (-∞, -1]

• Domain: (-∞, 1]

  Range: [-1, ∞)

• Domain: [-1, ∞)

  Range: (-∞, 1]

What are the domain and range?

• Domain: x ≤ 8

  Range: y ≥ -5

• Domain: x ≤ 8

  Range: y ≥ 3

• Domain: x ≥ 8

  Range: y ≥ 3

• Domain: x ≥ 8

  Range: y ≥ -5

Which parent function does not have a domain of all real numbers?

• Cubic

• Absolute Value

• Square Root

• Quadratic

What is the domain and range of the graph?

• D: { x | 0 < x < 3}

  R: { y | 0 < y < 36}

• D: { y | 0 < y < 3}

  R: { x | 0 < x < 36}

• D: { x | 0 < x < 36}

  R: { y | 0 < y < 3}

• D: { y | 0 < y < 36}

  R: { x | 0 < x < 3}

The name of all the possible inputs of a function:

• Domain

• Range

Domain: ​ ​ (a)  

Range: ​ (b)  

• all real numbers

Find the domain and range of the function pictured here. Click graph to enlarge.

Find the domain​ (a)   ​ and range ​ (b)   of the graph.​