Notes on graphing polynomials.notebook€¦ · Notes on graphing polynomials.notebook 3 January 23,...
Transcript of Notes on graphing polynomials.notebook€¦ · Notes on graphing polynomials.notebook 3 January 23,...
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Notes on graphing polynomials.notebook
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January 23, 2018
![Page 2: Notes on graphing polynomials.notebook€¦ · Notes on graphing polynomials.notebook 3 January 23, 2018 Ex. 3 Graph the function f(x) = x3 + 3x2 6x 8 1. Find/graph the xintercepts](https://reader033.fdocuments.in/reader033/viewer/2022060603/6057a2aff5c1ae1bac7185cc/html5/thumbnails/2.jpg)
Notes on graphing polynomials.notebook
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January 23, 2018
How to Graph a Polynomial Function1. Find the real zeros (xintercepts where y=0)
Factor it:
• GCF (Always check first)
• Guess and check (double bubble for quadratic trinomials)
• By grouping (4 terms)
• Complete the square (quadratic trinomial)
• Quadratic Formula (quadratic trinomial)
• RRT (p’s and q’s) (4 or more terms)
2. Find the yintercepts
Set x = 0
3. Need heights
Find at least 2 points between each zero using a table
4. End behavior
5. Plot and connect with smooth curves
Find maximum/minimum values using your calculator
![Page 3: Notes on graphing polynomials.notebook€¦ · Notes on graphing polynomials.notebook 3 January 23, 2018 Ex. 3 Graph the function f(x) = x3 + 3x2 6x 8 1. Find/graph the xintercepts](https://reader033.fdocuments.in/reader033/viewer/2022060603/6057a2aff5c1ae1bac7185cc/html5/thumbnails/3.jpg)
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January 23, 2018
Ex. 3 Graph the function f(x) = x3 + 3x2 6x 8
1. Find/graph the xintercepts by setting = 0
and solving
2. Find the max/min values on your calculator
and graph them
3. Connect in a smooth curve making sure
to pay attention to end behavior
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Graph f(x) = x3 2x2 5x + 6
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January 23, 2018
![Page 6: Notes on graphing polynomials.notebook€¦ · Notes on graphing polynomials.notebook 3 January 23, 2018 Ex. 3 Graph the function f(x) = x3 + 3x2 6x 8 1. Find/graph the xintercepts](https://reader033.fdocuments.in/reader033/viewer/2022060603/6057a2aff5c1ae1bac7185cc/html5/thumbnails/6.jpg)
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Ex. 5 A welder plans to construct an open box from a single piece of sheet metal 18.5' x 24.5' by cutting squares from the corners and folding up the sides. What is the box's maximum volume?
24.5
18.5
x
x
x
x
x
x
x x