Representing Relations and Functions

Is this a function?

• Yes, because all inputs have one output

• No, because 40 has two inputs

• Yes, because all outputs have one input

• No, because 2 has two outputs

Is this a function?

• Yes, because all inputs have one output

• No, because 30 has two inputs

• Yes, because all outputs have one input

• No, because the lines are not straight across

Is this a function?

• No, because 6 repeats itself

• Yes, because all inputs have one output

• No, because 2 repeats itself

• Yes, because all outputs have one input

Is this a function?

• No, because 2 repeats itself

• Yes, because all inputs have one output

• No, because 1 repeats itself

• Yes, because all outputs have one input

Is this a function?

Hint: use the vertical line test

• Yes, because a vertical line touches only one point on the relation

• No, because a vertical line touches only one point on the relation

• Yes, because a vertical line touches more than one point on the relation

• No, because a vertical line touches more than one point on the relation

Is this a function?

Hint: use the vertical line test

• Yes, because a vertical line touches only one point on the relation

• No, because a vertical line touches only one point on the relation

• Yes, because a vertical line touches more than one point on the relation

• No, because a vertical line touches more than one point on the relation

Is this relation a function: {(2,3), (4,3), (6,3), (8, 5)

• Yes, because none of the y coordinate (outputs) repeat itself.

• Yes, because none of the x-coordinates (inputs) repeat itself.

• No, because the y-coordinate of 3 repeats itself.

• No, because the x-coordinates repeat itself

Is this relation a function: {(3,2), (3,4), (5,6), (7, 8)

• Yes, because none of the y coordinate (outputs) repeat itself.

• Yes, because none of the x-coordinates (inputs) repeat itself.

• No, because the x-coordinate of 3 repeats itself.

• No, because the y-coordinates repeat itself

What is the domain of the function: {(2,3), (4,3), (6,3), (8, 5)

• 2, 4

• 3, 5

• 3,3,3,5

• 2,4,6,8

What is the range of the function: {(2,3), (4,3), (6,3), (8, 5)

• 2, 4

• 3, 5

• 3,3,3,5

• 2,4,6,8