Function and Domain and Range

For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.

• D: {1, -3, -4,}
  R: {0, 1, 2, -4}

• D:{-4, 0, 1, 2}
  R:{-4, -3, 1}

• D:{0, 1, 2, 3, 4}
  R:{1, -3, -4}

What is the range of the function?

• -7≤x≤6

• -7<x<6

• -8<y<2

• -8≤y≤2

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Is the relation a function? Why?

• Yes, because the x-value 11 has two y-values pair with it.

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

• No, because the x-value 11 has two y-values pair with it.

• No, because each x-value has only one y-value paired with it.

Tags

CCSS.8.F.A.1

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

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.

• Function
• Not a Function

Does this mapping diagram represent a function?

• No, because there are repeating input values

• Yes, because there are no repeating input values

Tags

CCSS.8.F.A.1

All of the y values or outputs are called what?

• Domain

• Range

• Relation

• Function

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

All of the x values or inputs are called what?

• Domain

• Range

• Relation

• Function

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

What is the domain of the graph?

• x≤0

• x≥0

• All real numbers

• y≥0

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5