5th Hour: Functions

Front

What is a function?

Back

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

Front

What is the vertical line test?

Back

The vertical line test is 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 does it mean for a relation to be not a function?

Back

A relation is not a function if at least one input is associated with more than one output.

Front

Given the relation R={(-4,2), (3,6), (x,8), (-1,4)}, which value of x makes it a function?

Back

0

Front

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

Back

Not a Function

Front

Is the table of values {(1,2), (2,3), (3,4)} a function?

Back

Function

Front

What is an example of a function?

Back

An example of a function is f(x) = 2x + 3, where each x-value has a unique y-value.

Front

What is a relation?

Back

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

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.