Functions

Front

What are all of the x values or inputs in a function called?

Back

Domain

Front

What determines if a relation is a function?

Back

Each x-value must have only one y-value paired with it.

Front

What is the vertical line test?

Back

A method to determine if a graph represents a function; if a vertical line intersects the graph at more than one point, it is not a function.

Front

What are the output values in a function called?

Back

Range

Front

If a vertical line touches more than one point on a graph, what does that indicate?

Back

The graph does not represent a function.

Front

What is an example of a function?

Back

f(x) = 2x + 3, where each input x has a unique output.

Front

What is a non-function example?

Back

y = x^2 and y = -x^2, where the same x-value can produce multiple y-values.

Front

What is the range of the function f(x) = x^2 for x in the set {-2, -1, 0, 1, 2}?

Back

{0, 1, 4}.

Front

What does it mean if a function is linear?

Back

It can be represented by a straight line on a graph.

Front

What is the definition of a dependent variable in a function?

Back

The variable that depends on the input value; typically represented as y.