Domain and Range Functions Slideshow

What is the range of the function?

• [-1, +∞)

• (-1,1)

• [1.5, +∞)

• (-2, 2)

What is the domain?

• x = 2

• −∞ < x < ∞

• y = 2

• none of these

What is the RANGE?

• {-3, 3]

• all real numbers

• [-4, 5]

• [-4, ∞)

The mapping below represents all of the points on the graph of function f.

What is the domain and range of f.

Domain: ​ (a)  

Range: ​ (b)  

• {-5, -3, 0, 2, 4}

• {-1, 0, 1, 2, 3}

• {5}

• {-5, -3, -1, 0, 2, 3, 4}

Select TWO correct answers.

Domain

​ (a)  

Range

​ (b)  

• The domain of the function is {0,1,2,3,4,5}

• The range of the function {0,96,192,288,384,480}

• The domain of the function is all real numbers

• The domain of the function {0,96,192,288,384,480}

• The range of the function {0,1,2,3,4,5}

• The range of the function is all real numbers.

A student borrowed $480 from a friend. He agreed to make monthly payments of $96 with no interest until the loan balance was paid off. The function shown models this situation, where f(x) represents the remaining loan balance in dollars after the student has made x monthly payments. Which statements are true about the domain and range of the function for this situation? Select the correct answers.

• 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

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

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

• ARN

• y

• >

• G

• x

• <

• E

• B

• A

• H

Match the following

• NEGATIVE

• –3 < x < –1

  OR

  x > 2

• RANGE

• x < 3

  OR

  –1 < x < 2

• DOMAIN

• ALL REAL NUMBERS

• DECREASING

• x < 1

  OR

  x > 3

• NO

  MATCH

• y ≤ 2

Is the relation shown a function?

• No, because the x-value 11 is paired with 5 and 8.

• Yes, because each x-value has only one y-value paired with it.

Find the Range.

• (-∞, +∞)

• (0, 11)

• [0, ∞)

• (0, ∞)