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459155
Pre-Calc
Description
Mind Map on Pre-Calc, created by semi_clear on 31/12/2013.
Mind Map by
semi_clear
, updated more than 1 year ago
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Created by
semi_clear
over 10 years ago
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Resource summary
Pre-Calc
Absolute value equations
|y| = a
y = a
y=-a
Inequalities
|y| <= a
-a<=y<=a
Annotations:
|5 - 2x| <= 9 -9<= 5-2x<= 9 -9 (-5) <= 5(-5)-2x<= 9 (-5) (solve for x. Subtract 5) -14<= -2x<= 4 -14/-2 => -2x/-2 => 4/-2 (divide by -2. ) NOTE:Switch inequalities when dividing by negative) 7 => x => -2 or -2<=x<=7
|y| < a
y < a
y > -a
Polynomials
Add and Subtract
(ax^2 +x - 7) + (bx^2 -3x +9)
ax^2 + bx^2 +x - 3x - 7 + 9
(a+b)x^2 -2x +2
(ax^2 +x - 7) - (bx^2 -3x +9)
ax^2 - bx^2 + x +3x -7 -9
(a-b)x^2 +4x - 16
Rational Expressions
Add and Subtract
5/x-1 + 4/x-2
5(x-2)/(x-1)(x-2) + 4(x-1)/(x-2)(x-1)
(5x-10)/(x-1)(x-2) + (4x-4)/(x-2)(x-1)
(9x-14)/(x-1)(x-2)
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