

Linear Functions
Presentation
•
Mathematics
•
8th Grade
•
Practice Problem
•
Medium
+1
Standards-aligned
Frances Hale
Used 25+ times
FREE Resource
14 Slides • 4 Questions
1
Functions 3

2
Functions
You put a number into your machine, it does something to that number and it gives you the new number
It does the same thing every time
For every input, you can get only one output
Everything we do in math is functions
3
You put something in, you get something out
The function takes in a number, applies a rule to it, and spits out another number
4
It does the same thing every time
The machine/function applies the same rule to every input every time, and it does it without changing the output
Example: y = 2x
5
For every input, you can only get 1 output
One input cannot have two or more different outputs
6
Everything we do in math is a function
Multiplying a number by another number, raising a number to an exponent, adding two numbers are ALL functions
7
Open Ended
A function is:
8
Two inputs can have the same output
The important thing is there is only one output PER input
9
Friday's Exit Ticket
10
Linear Functions
What do you think a linear function is?
11
Linear Functions
A linear function is a rule described by a linear equation. The rate of change is constant, and the graph of the equation is a line.
12
Does this table represent a linear function? Why?
13
14
Does this table represent ALL possible inputs and outputs?
15
Multiple Choice
Walter walks at a constant speed of 𝟖 miles every 𝟐 hours. What is his rate of walking?
8 miles per hour
4 miles per hour
2 miles per hour
16
Open Ended
For Walter's walking function: y = 4x
x (the input) represents the number of hours he walks for.
y (the output) represents the number of miles he can walk.
What is a reasonable range of x-values for this function?
17
What linear function can describe this table?
18
Open Ended
What is an appropriate range of x-values for our running function?
Functions 3

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