Polynomial Functions

Mathew_George
Mind Map by , created over 5 years ago

Mind Map on Polynomial Functions, created by Mathew_George on 04/12/2014.

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Mathew_George
Created by Mathew_George over 5 years ago
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Polynomial Functions
1 degree
1.1 Odd
1.1.1
1.1.2
1.1.3
1.1.4
1.1.5
1.2 Even
1.2.1
1.2.2
1.2.3
1.2.4
1.2.5
2 leading coefficient
2.1 Positive
2.1.1
2.1.2
2.2 Negative
2.2.1
2.2.2
3 End behaviour
3.1
3.2
3.3
3.4
4 Domain
4.1 {x ∈ R}
5 Multiplicity
5.1 Multiplicity of 1
5.1.1
5.2 Multiplicity of 2
5.2.1
5.3 Multiplicity of 3
5.3.1
6 Factorization
6.1 Factor Theorem
6.1.1 Long Division
6.1.1.1 Remainder Theorem
6.1.2 Synthetic Division
6.1.2.1
7 Intervals of Increase and Decrease
7.1
7.2
7.2.1 Increasing
7.2.1.1 x∈ (-∞,-2) ∪ (0,∞)
7.2.2 Decreasing
7.2.2.1 x∈ (-2,0)
7.3
7.3.1 Increasing
7.3.1.1 x∈ (-3,0) ∪ (2,∞)
7.3.2 Decreasing
7.3.2.1 x∈ (-∞,-3) ∪ (0,2)
8 Symmetry
8.1 Symmetry across the y-axis
8.1.1
8.1.1.1 Mirror image across the y-axis
8.2 Symmetry across the origin
8.2.1
8.2.1.1 Looks the same even after its flipped 180 degrees
9 Solving Inequalities
9.1 x³+7x²+10x ≥ 0
9.1.1 x(x²+7x+10x) ≥ 0
9.1.1.1 x(x+5) (x+2) ≥ 0
9.1.1.1.1 f(x) ≥ 0 when
9.1.1.1.1.1 x∈ [-5,2] ∪ [0,∞)
9.1.2