Function Attributes

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

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 are asymptotes in a function?

Back

Asymptotes are lines that a graph approaches but never touches. They can be vertical, horizontal, or oblique.

Front

What is a vertical asymptote?

Back

A vertical asymptote is a vertical line x = a where the function approaches infinity or negative infinity.

Front

What is a horizontal asymptote?

Back

A horizontal asymptote is a horizontal line y = b that the function approaches as x approaches infinity or negative infinity.

Front

What does it mean for a function to be defined for all real numbers?

Back

It means that the function has a valid output for every possible input value in the set of real numbers.

Front

What is the notation for the range of a function?

Back

The range is often denoted using interval notation, such as [a, b] or (a, b), depending on whether the endpoints are included.

Front

If a function has a range of y ≥ -1, what does this indicate?

Back

This indicates that the lowest value of the function is -1, and it can take any value greater than -1.