Function, Relations, Domain,and Range

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 is a relation?

Back

A relation is a set of ordered pairs, where each pair consists of an input (x-value) and an output (y-value).

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

The range is the set of all possible output values (y-values) for a function.

Front

Which of the following is NOT a function: {(1,-5), (3,1), (-5,4), (4,-2)} or {(1,-5), (-1,6), (1,5), (6,-3)}?

Back

{(1,-5), (-1,6), (1,5), (6,-3)} is NOT a function because the input '1' has two different outputs.

Front

How do you find the range of a function given its domain?

Back

To find the range, substitute each value from the domain into the function and collect the resulting outputs.

Front

What does it mean if a relation is a function?

Back

It means that for every input value, there is exactly one output value.

Front

What is an example of a function?

Back

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

Front

What is an example of a relation that is not a function?

Back

An example is {(1,2), (1,3)}, where the input '1' has two outputs.