Is it a Function

Front

What is the definition of a function?

Back

A function is a relation where every input has exactly one output.

Front

Is the set of values (6,-5), (7,-3), (8,-1), (9,1) a function?

Back

Yes, this set of values is a function because each input (first value) is unique.

Front

What does it mean for a relation to not be a function?

Back

A relation is not a function if at least one input is associated with more than one output.

Front

Identify if the following set is a function: (3,4), (4,-3), (7,4), (3,8).

Back

No, this set is not a function because the input '3' is associated with two different outputs (4 and 8).

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a curve is a function by checking if any vertical line intersects the curve at more than one point.

Front

Can a function have the same output for different inputs?

Back

Yes, a function can have the same output for different inputs, as long as each input has only one output.

Front

What is an example of a function in real life?

Back

An example of a function in real life is a vending machine: each button (input) corresponds to one specific item (output).

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) that the function can accept.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

How can you determine if a table of values represents a function?

Back

You can determine if a table of values represents a function by checking if each input value is unique.