Functions & Function Notation

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

What is function notation?

Back

Function notation is a way to denote functions using symbols, typically written as f(x), where 'f' is the function name and 'x' is the input variable.

Front

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

Back

1

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a graph represents a function. If any vertical line intersects the graph more than once, it is not a function.

Front

Is the graph of a circle a function?

Back

No, the graph of a circle is not a function because it fails the vertical line test.

Front

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

Back

5

Front

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

Back

A graph is a function if every x-value has exactly one corresponding y-value.

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

What is a linear function?

Back

A linear function is a function that can be graphically represented as a straight line, typically in the form f(x) = mx + b.