FUNCTIONS

Front

What is a function?

Back

A function is a relation that assigns exactly one output value for each input value.

Front

What is the definition of domain in a function?

Back

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

Front

What is the definition of range in a function?

Back

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

Front

How can you determine if a mapping is a function?

Back

A mapping is a function if each input value corresponds to exactly one output value.

Front

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

Back

A relation is not a function if at least one input value corresponds to more than one output value.

Front

Example of a function: {(1,2), (2,3), (3,4)}. What is the domain?

Back

D: {1, 2, 3}.

Front

Example of a function: {(1,2), (2,3), (3,4)}. What is the range?

Back

R: {2, 3, 4}.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a curve is a function by checking if a vertical line intersects the curve at more than one point.

Front

If a function has the points (2,3) and (2,4), is it a function?

Back

No, it is not a function because the input value 2 corresponds to two different output values.

Front

What is an example of a function?

Back

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