Functions & Function Notation

Front

What is a function?

Back

A function is a relation that assigns exactly one output (y-value) for each input (x-value).

Front

What is function notation?

Back

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

Front

How can you determine if a relation is a function?

Back

A relation is a function if every x-value has only one corresponding y-value.

Front

What does it mean if a table is not a function?

Back

If a table is not a function, it means that at least one x-value is paired with more than one y-value.

Front

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

Back

1

Front

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

Back

5

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a curve is a function; if a vertical line intersects the curve at more than one point, it is not a function.

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 one-to-one function?

Back

A one-to-one function is a function where each output value is paired with exactly one input value, meaning no two different x-values map to the same y-value.