Function REVIEW

Front

What is a function?

Back

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

Front

Is the relation {(1, 2), (1, 3)} a function? Why?

Back

No, because the x-value 1 has two different y-values (2 and 3).

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

Given the ordered pairs {(2, 3), (0, 6), (-2, 9), (4, 0)}, what is the domain?

Back

{-2, 0, 2, 4}.

Front

Given the ordered pairs {(2, 3), (0, 6), (-2, 9), (4, 0)}, what is the range?

Back

{0, 3, 6, 9}.

Front

What does it mean for a function to be nonlinear?

Back

A nonlinear function does not create a straight line when graphed; it may curve or have bends.

Front

Which of the following is a linear function: y = 2x + 3 or y = x^2?

Back

y = 2x + 3 is a linear function; y = x^2 is nonlinear.

Front

What is an example of a function?

Back

f(x) = 3x + 2 is a function because each x-value has one corresponding y-value.

Front

What is the vertical line test?

Back

A method to determine if a graph represents a function; if a vertical line crosses the graph more than once, it is not a function.