Exploring Functions: Is it a Function?

What is the input in the soda machine analogy?

• The type of soda

• The button you press

• The machine itself

• The output

In the soda machine analogy, what happens if you press the same button twice and get different sodas?

• The machine is functioning correctly

• The outputs are not unique

• The machine is not functioning correctly

• The inputs are not unique

What is the main rule for a relation to be considered a function?

• Each input must map to multiple outputs

• Each input must map to a unique output

• Each output must map to a unique input

• Each output must map to multiple inputs

In the equation y = x + 2, what is the output when the input is 3?

• 6

• 2

• 3

• 5

Why is the relation where 1 maps to both 3 and -5 not a function?

• Because the inputs are the same

• Because the outputs are the same

• Because the inputs are not unique

• Because the outputs are not unique

In Table 2, why is it not considered a function?

• Because 2 maps to two different outputs

• Because 4 maps to two different outputs

• Because 1 maps to two different outputs

• Because 0 maps to two different outputs

What is the domain in a function?

• The set of all possible outputs

• The set of all possible inputs

• The set of all possible relations

• The set of all possible functions

What is the range in a function?

• The set of all possible inputs

• The set of all possible functions

• The set of all possible relations

• The set of all possible outputs

What does the vertical line test determine?

• If a graph represents a function

• If a graph represents a relation

• If a graph represents a domain

• If a graph represents a range

How many times can a vertical line touch a graph for it to be a function?

• Two times

• Four times

• Three times

• One time