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 corresponding y-value.

Tags

CCSS.8.F.A.1

Front

What is function notation?

Back

Function notation is a way to represent functions using symbols. For example, f(x) represents the function f evaluated at x.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

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

Back

Yes, this mapping is a function because each input (1, 2, 3) has a unique output (2, 3, 4).

Tags

CCSS.8.F.A.1

Front

What does g(7) = 14 represent in coordinate form?

Back

The point (7, 14) represents the output of the function g when the input is 7.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

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

Given the relation {(1,3), (2,6), (3,9)}, what is the range?

Back

The range is {3, 6, 9}.

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

Identify the domain of the relation {(2,4), (3,6), (4,8)}.

Back

The domain is {2, 3, 4}.

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input is associated with exactly one output, while a relation can have multiple outputs for a single input.

Tags

CCSS.8.F.A.1

Front

How do you determine if a mapping is a function?

Back

To determine if a mapping is a function, check if any input value is paired with more than one output value.

Tags

CCSS.8.F.A.1