1.3 Lesson: Extrema and End Behavior
Presentation
•
Mathematics
•
10th Grade
•
Practice Problem
•
Easy
Standards-aligned
Blake Jensen
Used 3+ times
FREE Resource
6 Slides • 7 Questions
1
Extrema and
End Behavior
Presentation made by Blake Jensen with credit to McGraw Hill Reveal
2
Multiple Choice
Which of the following is not a function?
Before you answer.... list the x and y intercepts on your white board!
3
Match
Match each graph to a definition of it!
Discrete
Continuous
Neither Discrete nor Continuous
Odd Function
Even Function
Discrete
Continuous
Neither Discrete nor Continuous
Odd Function
Even Function
4
Open Ended
What do you think Extrema means? Just give your best guess!
5
The lowest point on a graph!
Minimum
The highest point on a graph!
Maximum
Extrema means Extremes!
6
Match
Match the following!
Maximum
Minimum
Doesn't have a maximum or minimum
Maximum
Minimum
Doesn't have a maximum or minimum
7
It's a minimum just not the minimum!
Relative minimum
It's a maximum just not the maximum!
Relative Maximum
Relative though
8
Labelling
Match the following labels!
Relative Minimum
Absolute Maximum
Absolute minimum
Relative maximum
9
Let's talk about the ends
Some awful notation but easy to use
As x increases, the graph decreases.
As we go right, the graph points down
As x decreases, the graph decreases
As we go left, the graph points down
10
Going Up or Down
Going Right or Left
The notation form
11
Match
Match them! See if you can remember
x→∞
x→−∞
f(x)→∞
f(x)→−∞
As we go right
As we go left
The graph goes up
The graph goes down
As we go right
As we go left
The graph goes up
The graph goes down
12
As we go right, the graph goes ____
As we go left the graph goes __
Write it out!
Let's practice one! Try it out!
13
Multiple Choice
Select the end behavior notation that matches the graph!
x→∞;f(x)→∞
x→−∞;f(x)→∞
x→∞;f(x)→−∞ x→−∞;f(x)→∞
x→∞;f(x)→∞
x→−∞;f(x)→−∞
x→∞;f(x)→−∞ x→−∞;f(x)→−∞
Extrema and
End Behavior
Presentation made by Blake Jensen with credit to McGraw Hill Reveal
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