Reading/Interpreting Function Notation

Front

What is a function?

Back

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

Front

How do you determine if a relation is a function?

Back

A relation is a function if no x-value is paired with more than one y-value.

Front

What does g(x) represent in function notation?

Back

g(x) represents the output of the function g for a given input x.

Front

What does it mean to evaluate a function at a specific value, such as g(9)?

Back

To evaluate g(9), substitute 9 for x in the function g(x).

Front

What is the coordinate point for g(15) = -1?

Back

The coordinate point is (15, -1).

Front

How do you read the notation f(x)?

Back

It is read as 'f of x'.

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

Front

What is the range of a function?

Back

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

Front

If f(x) = 3x + 2, what is f(4)?

Back

f(4) = 3(4) + 2 = 14.