Maths Drawing Graphs

Maths Drawing Graphs

1. X Intercept

   • Y Intercept
     • Maximum
       • Minimum
         • Horizontal Asymptote
           • Vertical Asymptote
             • Set denominator to 0 and then solve
               • [x^(2)-1]=0 , (x-1)(x+1) , x=1, x=-1
             • Slant Asymptotes
               • Long division of the denominator
                 • x^2-x-7 long division is 3x+3
           • X becomes really big, everything else is irrelevant
             • [2x^(2)-11]/[x^(2)+9] = asymptote at 2
           • (ax^n-bx^m)
             • If n<m the horizontal asymptote is the x axis
             • If n=m then x becomes really big
             • If n>m there is a slant asymptote
         • 2nd Derivative >0
       • 2nd Derivative <0
     • Set x to 0
   • Set numerator to 0 and solve