
Rate of Change Review
Presentation
•
Mathematics
•
9th - 12th Grade
•
Hard
Joseph Anderson
FREE Resource
5 Slides • 15 Questions
1
2
We will find the average rate of change (A.R.C.) from function
Tables
Graphs
Equations
Happy learning!
3
Take a minute to think...
4
Multiple Choice
What are the x-values they are talking about?
x=6 and x=18
x=12 and x=24
x=19 and x=49
x=49 and x=29
5
Multiple Choice
Which is the correct math to find the average rate of change?
6−1829−49
49−2918−6
18−649−29
18−629−49
6
Multiple Choice
What is the average rate of change?
−35
−53
35
53
7
Multiple Choice
What is the average rate of change?
−21
53
35
23
8
Drag and Drop
9
Drag and Drop
10
Open Ended
How would you find the average rate of change of the graph? What are you concentrating on?
11
Drag and Drop
and ( 1 ,
12
Multiple Choice
What is the average rate of change?
52
25
−5
−1
−3
13
Drag and Drop
and ( 3 ,
14
Multiple Choice
What is the average rate of change?
52
25
1
−1
−3
15
16
Open Ended
Given the function h(x)=−x2−x+5 determine the average rate of change of the function over the interval −6≤x≤2 .
How will you do this?
17
Multiple Choice
Given the function h(x)=−x2−x+5 determine the average rate of change of the function over the interval −6≤x≤2 .
2−−6−1−−25=824=3
6−−2−25−−1=−824=−3
−25−−12−−6=−248=−31
18
19
Multiple Choice
Given the function f(x)=x2+3x−1 , determine the average rate of change of the function over the interval −3≤x≤4 .
27−−14−−3=287=41
4−−3−1−27=7−28=−4
4−−327−−1=728=4
20
Open Ended
What do ΔxΔy , change of input valueschange of output values , x2−x1y2−y1 and b−af(b)−f(a) all have in common?
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