Functions and Linear Functions 2023

A function is a relation in which every ​ (a)   has ​ (b)   one ​ (c)  

• input
• exactly
• at least
• output
• more than one

What is a mathematical function?

• A relation in which each output has exactly one input

• A relation in which no two inputs have the same output

• A relation in which each input has exactly one output

• All of these

Sort the following relations

Groups:

(a) Function

,

(b) Not a Function

• 
• 
• 
• 
• 
• 
• 

This table represents a function because...

• Every input has exactly one output

• As x increases by 1, y always decreases by 3

• Both

• Neither

This table does not represent a function because...

• It fails the vertical line test

• There are inputs that have more than one output

• Both

• Neither

BONUS!! This table does not represent a linear function because...

• It fails the vertical line test

• As x increases by 1, y does not decrease by the same amount each time

• None of these

• It fails the vertical line test AND as x increases by 1, y does not decrease by the same amount each time

This table represents a linear function because...

• Every input has exactly one output

• As x increases by 1, y always decreases by 3

• Both

• Neither

A ​ (a)   function is one in which as x-values increases by a ​ (b)   amount, then the associated y-values ​ (c)   increase ​ (d)   by ​ (e)   amount

• linear
• constant
• always
• or decrease
• the same

Find the missing OUTPUT value.

• 8

• -2

• 2

• -8

Which equation matches the table?

• y = x + 5

• y = 5x

• y = x - 5

• x = y - 5