Functions and Relations Review

Front

What is a function?

Back

A function is a relation where each input (x-value) has exactly one output (y-value).

Front

What is the definition of a relation?

Back

A relation is a set of ordered pairs, where each pair consists of an input and an output.

Front

How can you determine if a relation is a function?

Back

A relation is a function if no x-value is paired with more than one y-value.

Front

What does the notation f(x) represent?

Back

f(x) represents the output of the function f for a given input x.

Front

Translate the function notation f(-1) = 5 into a coordinate point.

Back

The coordinate point is (-1, 5).

Front

What is the output of the function f(x) = x - 5 when x = 9?

Back

The output is 4.

Front

What is the vertical line test?

Back

The vertical line test is 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 domain of a function?

Back

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

Front

What is the range of a function?

Back

The range is the set of all possible output values (y-values) for the function.

Front

If f(3) = 4, what does this mean?

Back

This means that when the input is 3, the output of the function f is 4.