Functions, Functions, Functions

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input. In other words, for every x-value, there is one and only 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) that the function can accept.

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 mapping is a function?

Back

A mapping is a function if no two ordered pairs have the same first element (x-value). If they do, it is not a function.

Front

What is the vertical line test?

Back

The vertical line test is a method used 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 does it mean for a graph to be a function?

Back

A graph is a function if every x-value has exactly one corresponding y-value.

Front

Given the function {(0,1), (1,-3), (2,-4), (-4,1)}, what is the domain?

Back

D: {0, 1, 2, -4}.

Front

Given the function {(0,1), (1,-3), (2,-4), (-4,1)}, what is the range?

Back

R: {1, -3, -4}.

Front

What is an example of a set of values that is a function?

Back

(6,-5) (7, -3) (8, -1) (9, 1) is a function because each x-value is unique.

Front

What is a relation?

Back

A relation is a set of ordered pairs, which can represent a function or not.