Asymptotes - Page 60
Questions
- How to sketch the graph f(x)=# |x^2-1|/(x^2-1)# showing any points of discontinuity, horizontal or vertical asymptotes and x and y intercepts?
- Does the function x^3-4x^2+2x-6/x-3 have a slant asymptote? if so, find an equation of the slant asymptote. if not, explain.
- How do you identify the horizontal asymptotes for the following function? #f(x)=(x-8)/(x+3)#. #y=#?
- Given the functions #a(x) = 4x2 + 2x − 3# and #b(x) = x − 1#, identify the oblique asymptote of #a(x)/b(x)#?
- Are the zeros/roots of a parabola the inverse of the x-intercepts?
- If #f(x)=x^3+x# , #f^-1(x)=?#
- Find the horizontal asymptote, if it exists, of the function below?
- Given #y={2x^2-a}/{x^2-4}# Find: i) the domain ii) the range iii) x and y intercepts iv) the asymptotes v) point of inflexion?