Functions & Function Notation

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input. In other words, for every x-value, there is one and only one y-value.

Front

What is function notation?

Back

Function notation is a way to represent functions using symbols. It typically uses 'f(x)' to denote the function f evaluated at x.

Front

What does the vertical line test determine?

Back

The vertical line test determines if a graph represents a function. If a vertical line intersects the graph at more than one point, it is not a function.

Front

Evaluate f(-2) if f(x) = x + 3.

Back

f(-2) = -2 + 3 = 1.

Front

Find f(2) if f(x) = 2x + 1.

Back

f(2) = 2(2) + 1 = 5.

Front

How do you write y = 2x - 3 in function notation?

Back

f(x) = 2x - 3.

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

Is the mapping {(1,2), (2,3), (3,4)} a function?

Back

Yes, it is a function because each input has exactly one output.

Front

What is an example of a non-function?

Back

The relation {(1,2), (1,3)} is not a function because the input 1 has two different outputs.