Front

What is a function in mathematics?

Back

A function is a relation that assigns exactly one output (y-value) for each input (x-value).

Front

How can you determine if a mapping is a function?

Back

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

Front

What is the definition of a relation in mathematics?

Back

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

Front

What does it mean for a relation to not be a function?

Back

A relation is not a function if at least one x-value is associated with multiple y-values.

Front

Given the set of pairs (6,-5), (7,-3), (8,-1), (9,1), is this a function?

Back

Yes, this is a function because each x-value is unique.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a curve is a function; if a vertical line intersects the curve at more than one point, it is not a function.

Front

What is an example of a function?

Back

An example of a function is f(x) = 2x + 3, where each input x has a unique output.

Front

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

Back

An example of a relation that is not a function is {(1,2), (1,3)}, where the x-value 1 is paired with two different y-values.

Front

What does the notation f(4) = 8 signify?

Back

The notation f(4) = 8 means that when the input is 4, the output of the function f is 8.

Front

What is the significance of the x-value in a function?

Back

The x-value is the input of the function, which determines the corresponding y-value (output).