8th Grade - Determining Functions - Review

Front

Is the relation a function?

Back

Yes, it is a function if each input (x-value) has exactly one output (y-value).

Front

What are all of the x values or inputs called?

Back

Domain.

Front

What does it mean if a graph passes the vertical line test?

Back

It means that for every x-value, there is only one corresponding y-value, confirming it is a function.

Front

What does it mean if a graph does NOT pass the vertical line test?

Back

It means that at least one x-value has more than one corresponding y-value, indicating it is not a function.

Front

What are all of the y values or outputs called?

Back

Range.

Front

If a relation has the pairs (1, 2), (2, 3), (1, 4), is it a function?

Back

No, because the x-value 1 has two different y-values (2 and 4).

Front

What is a function?

Back

A relation where each input is associated with exactly one output.

Front

What is the domain of the function f(x) = x^2?

Back

The domain is all real numbers, as any real number can be squared.

Front

What is the range of the function f(x) = x^2?

Back

The range is all real numbers greater than or equal to 0.

Front

What is an example of a function?

Back

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