Domain and Range - Flashcard Review

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

What does the Vertical Line Test determine?

Back

It determines if a graph represents a function; if a vertical line intersects the graph more than once, it is not a function.

Front

What is the common variable used to represent Range?

Back

Y

Front

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

Back

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

Front

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

Back

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

Front

What is the Domain of the inequality -3 < x ≤ 3?

Back

The set of all x-values between -3 and 3, including 3 but not -3.

Front

What is the Range of the inequality -4 ≤ y ≤ 5?

Back

The set of all y-values from -4 to 5, including both -4 and 5.

Front

If a function has a Domain of {1, 2, 3}, what can be said about its Range?

Back

The Range can vary; it depends on the output values corresponding to the Domain.

Front

What is an example of a function that fails the Vertical Line Test?

Back

A circle, as a vertical line can intersect it at two points.