Defining Functions

A relation where every input in matches with exactly one output is called what?

• Relation

• Linear

• Exponential

• Function

What type of function is shown?

• absolute value

• quadratic

• linear

• exponential

• 1

• -2

• 0

• 4

A mapping is shown in the diagram above.

This mapping is.....

• a function, because Feb has two outputs, 28 and 29

• a function, because two inputs, Jan and Mar, result in the output 31

• not a function, because Feb has two outputs, 28 and 29

• not a function, because two inputs, Jan and Mar, result in the output 31

Does the mapping of these points represent a function? (Note: the left oval represents your x values and the right oval represents your y values)

• Function

• Not a Function

Does this mapping diagram represent a function?

• No, because an input value goes to multiple output values

• Yes, because each input goes to one and only one output

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.

What is the definition of function?

• Has inputs and outputs

• Every input has only ONE output

• Inputs have different outputs every time

• x-values and y-values

Kim burns 85 calories per hour hiking. Write an equation using function notation to show how many calories Kim will burn in h hours.

Is this a function? Explain.

• Yes; it passes the horizontal line test.

• No; it is not a straight line.

• Yes; it passes the vertical line test.

• No; there is a line connecting the dots.