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In this video, we will learn how to graph polynomial and rational functions. Additionally, we will learn how to solve polynomial inequalities and variation word problems.

0:00:00 Graphing Polynomial Functions
0:50:03 Graphing Rational Functions
2:06:12 Solving Polynomial Inequalities
2:27:13 Solving Variation Word Problems

Desmos Links:

Graphing Polynomial Functions:
f(x) = x^2
https://www.desmos.com/calculator/bnx...
f(x) = x^2
https://www.desmos.com/calculator/kkb...
f(x) = x^4
https://www.desmos.com/calculator/qr4...
f(x) = x^2, g(x) = x^4
https://www.desmos.com/calculator/0i1...
f(x) = x^3, g(x) = x^5
https://www.desmos.com/calculator/ekx...
f(x) = x^6
https://www.desmos.com/calculator/f0i...
f(x) = x^3
https://www.desmos.com/calculator/yby...
f(x) = x^3
https://www.desmos.com/calculator/kgr...
f(x) = x^5
https://www.desmos.com/calculator/apx...
f(x) = x^7
https://www.desmos.com/calculator/3fl...

Graphing Rational Functions
f(x) = 1/x
https://www.desmos.com/calculator/2u8...
g(x) = [4]/[x + 2] + 2
https://www.desmos.com/calculator/pqv...
f(x) = 1/x^2
https://www.desmos.com/calculator/an6...
g(x) = [2]/[(0.5x 1)^2] 1
https://www.desmos.com/calculator/zxa...
f(x) = [x 3]/[x^2 + x 2]
https://www.desmos.com/calculator/zo9...
f(x) = [4x^2 x 4]/[2x^2 + x + 1]
https://www.desmos.com/calculator/xuv...
f(x) = [2x^2 5x + 4]/[x 1]
https://www.desmos.com/calculator/eq3...
f(x) = [2x^3 4x^2 x + 2]/[x 2]
https://www.desmos.com/calculator/6hu...
f(x)= [1]/[(x 3)^2]
https://www.desmos.com/calculator/epc...
f(x) = [1]/[(x 3)^3]
https://www.desmos.com/calculator/pkr...
f(x) = [(x 3)^2]/[x 2]
https://www.desmos.com/calculator/vs7...
f(x) = [x 3]/[x 2]
https://www.desmos.com/calculator/xl8...
f(x) = [x 1]/[x^2 6x + 8]
https://www.desmos.com/calculator/odl...
f(x) = [x^2 4x + 4]/[x 1]
https://www.desmos.com/calculator/bec...
f(x) = [x 2]/[(x 3)^2(x 1)]
https://www.desmos.com/calculator/hji...

Solving Polynomial Inequalities
Problem #1
https://www.desmos.com/calculator/xd2...
Problem #2
https://www.desmos.com/calculator/ipr...
Problem #3 (Quadratic Factor with NonReal Complex Zeros)
https://www.desmos.com/calculator/lim...
Problem #3
https://www.desmos.com/calculator/0ws...

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