Domain and Range

What is the DOMAIN of this relation?

What is the DOMAIN of this relation?

• $\left\{-6,\ -4,\ 2,\ 5,\ 8\right\}\$

What is the DOMAIN of a relation?

• The origin

• The x-values

• The ordered pairs

• The y-values

What is the RANGE of a relation?

• The origin

• The x-values

• The ordered pairs

• The y-values

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

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 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}

​ (a)   represents the DOMAIN.

​ (b)   represents the RANGE.

All of the x values or inputs are called what?

• Domain

• Range

• Relation

• Function