
Unit 2 Review: Function Notation and AROC
Presentation
•
Mathematics
•
9th Grade
•
Practice Problem
•
Medium
+2
Standards-aligned
Abby McRae
Used 32+ times
FREE Resource
6 Slides • 10 Questions
1
Unit 2 Review
Function Notation and Average Rate of Change
2
Function Notation
using F(x) "F of x" instead of y
3
Examples
you try: f(x)=3(4)x find f(2)
4
Multiple Choice
f(x)=x2+7 find f(−2)
3
11
5
-5
5
Multiple Choice
h(x)=x12
Find h(24)
3
1/2
36
1/4
6
Multiple Choice
f(x)=−2x+5
g(x)=100(41)x
Find f(4) + g(2)
3.25
-2.61
7.2
1.39
7
Multiple Choice
Find f(3) using the graph of f(x)
2
3
4
1
8
Multiple Choice
Using the graph of f(x) find f(2)-f(0)
0
1
2
3
9
What is Average Rate of Change?
The average rate of change is finding how much something changes over time.
This is like finding the slope of a line given specific points
The average rate of change is not constant like slope is, meaning it changes throughout the graph.
10
Multiple Select
Which formulas can be used to find average rate of change from [a,b]
Check all that apply
rise/run
x2−x1y2−y1
b−af(b)−f(a)
y=mx+b
11
Graphically
First look at the graph on the right. Find the average rate of change from [-3, 1]
12
Algebraically
Now look at the equation on the left. Find the average rate of change from [-3, 1]
13
Multiple Choice
Oscar planted a tomato seed in his garden. Each day he recorded the height of the tomato plant.
During which interval did the tomato plant grow the fastest?
Day 4 to Day 6
Day 8 to Day 10
Day 6 to Day 8
Day 10 to Day 12
14
Multiple Choice
What is the average rate of change from day 2 to day 14?
3/2
9
4/3
3/4
15
Multiple Choice
What is the average rate of change fron [2,6]?
13/4
-15
4/13
1/15
16
Multiple Choice
y=500(1.05)x
According to the function above, to the nearest whole number what is the average rate of change over the interval from x=0 to x=10?
31
-31
50
1.05
Unit 2 Review
Function Notation and Average Rate of Change
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