AQA D13: Quadratic Rational Functions
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PLAYLIST
PLAYLIST
Sketching Quadratic Rational Functions
Sketching Quadratic Rational Functions
D13-01 Rational Functions: How to Sketch y=(ax^2+bx+c)/(dx^2+ex+f)
D13-01 Rational Functions: How to Sketch y=(ax^2+bx+c)/(dx^2+ex+f)
D13-02 Rational Functions: Sketching y = (x^2-6x+8)/(x^2+6x+5)
D13-02 Rational Functions: Sketching y = (x^2-6x+8)/(x^2+6x+5)
D13-03 Rational Functions: Sketching y = (x^2-x-6)/(x^2+x-6)
D13-03 Rational Functions: Sketching y = (x^2-x-6)/(x^2+x-6)
D13-04 Rational Functions: Sketching y = (x^2-2x-48)/(x^2-5x+4)
D13-04 Rational Functions: Sketching y = (x^2-2x-48)/(x^2-5x+4)
D13-05 Rational Functions: Sketching y = (x^2+7x+10)/(x^2+3x-18)
D13-05 Rational Functions: Sketching y = (x^2+7x+10)/(x^2+3x-18)
D13-06 Rational Functions: Sketching y = (x^2-4)/(x^2-5x)
D13-06 Rational Functions: Sketching y = (x^2-4)/(x^2-5x)
D13-07 Rational Functions: Sketching y = (x^2+4)/(x^2-8x)
D13-07 Rational Functions: Sketching y = (x^2+4)/(x^2-8x)
D13-08 Rational Functions: Sketching y = (x^2-3x)/(x^2+9)
D13-08 Rational Functions: Sketching y = (x^2-3x)/(x^2+9)
D13-09 Rational Functions: Sketching y = (x+5)/(x^2-3x+2)
D13-09 Rational Functions: Sketching y = (x+5)/(x^2-3x+2)
D13-10 Rational Functions: Sketching y = 1/(x^2+4x-45)
D13-10 Rational Functions: Sketching y = 1/(x^2+4x-45)
D13-11 Rational Functions: Sketching y = -4x/(x^2+9)
D13-11 Rational Functions: Sketching y = -4x/(x^2+9)
Oblique Asymptotes
Oblique Asymptotes
D13-12 Rational Functions: Introducing Oblique Asymptotes
D13-12 Rational Functions: Introducing Oblique Asymptotes
D13-13 Rational Functions: Sketching y = (x^2-1)/(x-2)
D13-13 Rational Functions: Sketching y = (x^2-1)/(x-2)
D13-14 Rational Functions: Sketching y = (x^2-9)/(x-1)
D13-14 Rational Functions: Sketching y = (x^2-9)/(x-1)
D13-15 Rational Functions: Sketching y = (x^2+4)/(x+2)
D13-15 Rational Functions: Sketching y = (x^2+4)/(x+2)
D13-16 Rational Functions: Sketching y = (x^2+x-20)/(x-3)
D13-16 Rational Functions: Sketching y = (x^2+x-20)/(x-3)
D13-17 Rational Functions: Sketching y = (4x^2-5)/(3x+1)
D13-17 Rational Functions: Sketching y = (4x^2-5)/(3x+1)
D13-18 Rational Functions: Sketching y = (6x^2-7x-3)/(2x-5)
D13-18 Rational Functions: Sketching y = (6x^2-7x-3)/(2x-5)
D13-19 Rational Functions: Sketching y = (-4x^2+43x-63)/(2x+3)
D13-19 Rational Functions: Sketching y = (-4x^2+43x-63)/(2x+3)
EXTENSION Cubic Rational Functions
EXTENSION Cubic Rational Functions
D13-20 Rational Functions: EXTENSION Sketching y = (x^3)/(x^2-1)
D13-20 Rational Functions: EXTENSION Sketching y = (x^3)/(x^2-1)
D13-21 Rational Functions: EXTENSION Sketching y = (x^3-64)/(x^2-4)
D13-21 Rational Functions: EXTENSION Sketching y = (x^3-64)/(x^2-4)
D13-22 Rational Functions: EXTENSION Sketching y = (x^3-1)/(x^2+1)
D13-22 Rational Functions: EXTENSION Sketching y = (x^3-1)/(x^2+1)
D13-23 Rational Functions: EXTENSION Sketching y = (x^3-x^2+2)/(x-1)
D13-23 Rational Functions: EXTENSION Sketching y = (x^3-x^2+2)/(x-1)