Functions & Relations

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

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

How can you determine if a set of ordered pairs represents a function?

Back

A set of ordered pairs represents a function if no x-value is repeated with different y-values.

Front

What does it mean if a relation is not a function?

Back

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

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

How do you find the value of a function at a specific point, such as f(0)?

Back

To find the value of a function at a specific point, substitute the input value into the function's equation and simplify.

Front

What is a mapping in the context of functions?

Back

A mapping is a way to represent a function, showing how each element of the domain is paired with an element of the range.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a graph represents a function; if any vertical line intersects the graph more than once, it is not a function.

Front

What is an example of a function?

Back

An example of a function is f(x) = 2x + 1, where each x-value has a unique corresponding y-value.

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.