Relations and Functions

Front

What is a function?

Back

A function is a relation that assigns exactly one output value for each input 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 is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

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

In the ordered pair (x,y), which number is the x-coordinate?

Back

The x-coordinate is the first number in the ordered pair.

Front

In the ordered pair (x,y), which number is the y-coordinate?

Back

The y-coordinate is the second number in the ordered pair.

Front

What does it mean for a relation to be a function?

Back

A relation is a function if each input value corresponds to exactly one output value.

Front

How do you determine if a table represents a function?

Back

A table represents a function if no two rows have the same input value.

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 an example of a relation that is not a function?

Back

An example of a relation that is not a function is {(1,2), (1,3)}, where the input value 1 corresponds to two different output values.