Function or Not Domain and Range

Is this graph a function or not a function? 

• Function 

• Not a Function

Is this set of ordered pairs a function or not a function? 

• Function

• Not a Function 

Function or Not a Function?

• Function

• Not a Function

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

Which graph does NOT pass the vertical line test?

• Graph 1

• Graph 2

• Graph 3

• Graph 4

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}

• D: {0, 1, 2, -4}
  R: {1, -3, -4, 1}

What is the domain of this function?
(2, 4), (5, 5), (8, 6), (11, 7)

• {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11)

• {2, 5, 8, 11}

• {4, 5, 6, 7}

• {2, 4, 5, 8, 6, 11, 7}

What is the range?

• {-2, -1, 0, 3}

• {3, 0, -1, 0, -2}

• {-4, -2, 1, 2, 5}

• {-4, -2, -1, 0, 1, 2, 3, 5}

What is the RANGE of this graph?

• -7<x<5

• -7≤x<5

• -3<x<1

• -3≤x<1