Function Notation Review

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

What does it mean for a mapping diagram to represent a function?

Back

A mapping diagram represents a function if each input value is paired with exactly one output value, meaning there are no repeating input values.

Front

What is a function?

Back

A function is a relation that assigns exactly one output value for each input value.

Front

What is not a function?

Back

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

Front

How can you determine if a set of ordered pairs is a function?

Back

A set of ordered pairs is a function if no two pairs have the same first element (input value).

Front

Example of a function: (1, 2), (2, 3), (3, 4). Is this a function?

Back

Yes, this is a function because each input value is unique.

Front

Example of not a function: (1, 2), (1, 3), (2, 4). Is this a function?

Back

No, this is not a function because the input value '1' is paired with two different output values.

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

If f(x) = 2x + 3, what is f(2)?

Back

f(2) = 2(2) + 3 = 4 + 3 = 7.