AQA D14: Discriminants

This is for the AQA compulsory content only (LINK):

PLAYLIST

Introducing using the Discriminant

D14-01 Discriminants: Finding the Range of a Rational Function

Finding Stationary Points

D14-02 Discriminants: Stationary Points of y = (x^2-4)/(x^2+4x+6)

D14-03 Discriminants: Stationary Points of y = (x^2+2)/(x^2-4x)

D14-04 Discriminants: Stationary Points of y = (12x^2+5x)/(x^2+1)

D14-05 Discriminants: Stationary Points of y = (5x^2+16x-16)/(5x-5)

Finding the Range of Rational Functions

D14-06 Discriminants: Find the Range of y = (x^2+1)/(3x^2+4x)

D14-07 Discriminants: Find the Range of y = (x^2-6)/(x^2+4x+5)

D14-08 Discriminants: Find the Range of y = (x^2+x-5)/(x^2+x)

D14-09 Discriminants: Find the Range of y = (5x^2+65x+150)/(3x+5)

Fully Sketching Rational Functions

D14-10 Discriminants: Fully Sketch y = 18/(x^2+6x)

D14-11 Discriminants: Fully Sketch y = (-1-x)/(x^2+2x+2)

D14-12 Discriminants: Fully Sketch y = (-20x^2-30x+140)/(10x-29)