Relations and Functions

Front

What is a function?

Back

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

Front

How can you determine if a relation is a function?

Back

A relation is a function if no two ordered pairs have the same first element with different second elements.

Front

What does k(4) represent in a function?

Back

k(4) represents the output of the function k when the input is 4.

Front

If f(x) = 2x + 4, what is f(2)?

Back

f(2) = 2(2) + 4 = 8.

Front

What does it mean for a graph to be increasing?

Back

A graph is increasing if the y-values rise as the x-values increase.

Front

What does it mean for a graph to be decreasing?

Back

A graph is decreasing if the y-values fall as the x-values increase.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line.

Front

What is a nonlinear function?

Back

A nonlinear function is a function that does not graph to a straight line.

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.