Relations & Functions - 2021

Front

What is the definition of a function?

Back

A function is a relation where every input has only ONE output.

Front

Is this mapping a function or not a function? (Example: {(1,2), (2,3), (3,4)})

Back

This mapping is a Function.

Front

What are all of the y values or outputs called?

Back

All of the y values or outputs are called the Range.

Front

What are all of the x values or inputs called?

Back

All of the x values or inputs are called the Domain.

Front

Is this a function? (Example: {(1,2), (1,3)})

Back

No, this is not a function because the input 1 has two different outputs.

Front

What is the range of the function f(x) = 2x + 3?

Back

The range is all real numbers since it can take any value.

Front

What is the domain of the function f(x) = 1/x?

Back

The domain is all real numbers except x = 0.

Front

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

Back

A relation is a function if each input is associated with exactly one output.

Front

What is an example of a function? (Example: f(x) = x^2)

Back

f(x) = x^2 is a function because each input x has one output x^2.

Front

What is a non-function example? (Example: {(1,2), (1,3)})

Back

This is a non-function because the input 1 corresponds to two different outputs.