Function Notation Review

Front

What is the definition of Domain in function notation?

Back

The set of all possible x-values for a function.

Front

How can you determine if a relation is a function?

Back

A relation is a function if each x-value has exactly one corresponding y-value.

Front

What does it mean if an x-value has multiple y-values in a relation?

Back

It means the relation is not a function.

Front

If f(x) = 9 when x = -2, what does this indicate?

Back

It indicates that the output of the function f for the input -2 is 9.

Front

Given the set of points (-3, 5), (-3, 3), (4, 4), (0, 4), what is the Domain?

Back

The Domain is the set of unique x-values: -3, 4, 0.

Front

What is the range of a function?

Back

The set of all possible y-values that a function can output.

Front

Can a function have the same y-value for different x-values?

Back

Yes, a function can have the same y-value for different x-values.

Front

What is a vertical line test?

Back

A method to determine if a relation is a function by checking if any vertical line intersects the graph more than once.

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input has a single output.

Front

What does it mean for a function to be one-to-one?

Back

A function is one-to-one if each y-value corresponds to exactly one x-value.