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).

Tags

CCSS.8.F.A.1

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.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

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.

Tags

CCSS.8.F.A.1

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.

Tags

CCSS.8.F.A.1

Front

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

Back

1

Tags

CCSS.HSF.IF.A.2

Front

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

Back

5

Tags

CCSS.HSF.IF.A.2

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.

Tags

CCSS.HSF-LE.A.1B