Domain and Range

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

Given the function {(0,1), (1,-3), (2,-4), (-4,1)}, what is the Domain?

Back

D: {-4, 0, 1, 2}.

Front

Given the function {(0,1), (1,-3), (2,-4), (-4,1)}, what is the Range?

Back

R: {-4, -3, 1}.

Front

What does the vertical line test determine?

Back

It determines if a graph represents a function by checking if any vertical line intersects the graph more than once.

Front

If a function has an x-value of 11 paired with two different y-values, is it a function?

Back

No, because each x-value must have only one corresponding y-value.

Front

What is the Domain of the linear function defined by -3 < x ≤ 5?

Back

The Domain is all x-values greater than -3 and up to and including 5.

Front

What is the Range of a function if y ≥ 0?

Back

The Range includes all y-values that are greater than or equal to 0.

Front

What is an example of a function that is not a function?

Back

A relation where an x-value is paired with multiple y-values, such as {(1,2), (1,3)}.

Front

What is the importance of identifying Domain and Range?

Back

It helps in understanding the behavior of the function and its limitations.