Finding Domain and Range of Functions

Domain:​ (a)   Range: ​ (b)  

• all real numbers

The graph shown has a domain of​ (a)   .

It has a range of (b)   ​ (c)   (d)   . ​

• ARN

• y

• >

• G

• x

• <

• E

• B

• A

• H

Identify the range of the function from the given graph.

• Range of the function from the given graph can be determined by observing the y-values of the highest and lowest points on the graph.

• Range of the function is determined by the x-values of the highest and lowest points on the graph.

• Range of the function is determined by the average of all the y-values on the graph.

• Range of the function is determined by the slope of the graph.

What is the domain of the function h(x) = |x|?

• All integers

• Only negative numbers

• All real numbers

• Only even numbers

What is the domain of the function k(x) = 1/x?

• All even numbers

• All integers

• All real numbers except 0

• Only positive numbers

Find the domain of the quadratic function f(x) = -2x^2 + 6x - 3.

• Numbers less than 5

• All real numbers

• Only positive numbers

• Integers

Determine the domain of the function g(x) = √(3x - 2).

• x > 3

• x ≥ 2/3

• x ≤ 2/3

• x = 2/3

Find the domain and range of the INVERSE of the following function

• Domain: {-2, -1, 1, 8}

  Range: {2, 3, 5}

• Domain: {2, 3, 5}

  Range: {-2, -1, 1, 8}

• Domain: {-1, 8, 1, -2}

  Range: {3, 2, 3, 5}

• Domain: {3, 2, 3, 5}

  Range {-1, 8, 1, -2}

• The ones that would make the function undefined.

The graph of a function is shown.  What are the domain and range of this function?

• Domain: (-∞, ∞)
  Range: (-∞, 2]

• Domain: [2, ∞)
  Range: (-∞, ∞)

• Domain: (-∞, ∞)
  Range: (-∞, ∞)

• Domain: (-∞, 2]
  Range: [2, ∞)