Function & Domain and Range

Front

What are all of the y values or outputs in a function called?

Back

Range

Front

What is the definition of a function?

Back

A relation where each input has exactly one output.

Front

What is the definition of domain in a function?

Back

The set of all possible input values (x values) for a function.

Front

What is the definition of range in a function?

Back

The set of all possible output values (y values) for a function.

Front

How can you determine if a graph represents a function?

Back

Use the vertical line test: if a vertical line intersects the graph at more than one point, it is not a function.

Front

Is the relation {(1,2), (2,3), (3,4)} a function?

Back

Yes, because each input has a unique output.

Front

Is the relation {(1,2), (1,3), (2,4)} a function?

Back

No, because the input 1 has two different outputs.

Front

What does it mean if a graph is not a function?

Back

It means that at least one input has more than one output.

Front

What is an example of a function?

Back

f(x) = 2x + 3 is a function because each x value has one corresponding y value.

Front

What is an example of a non-function?

Back

y^2 = x is not a function because for some x values, there are two corresponding y values.