Follow the curve sketching algorithm and provide detailed work (showing every step) and sketch for the following functions: (Your work must include non derivative analysis, 1st derivative
analysis and second derivative analysis and using proper notations)
Note: For part a, your critical points and points of inflection can be decimal numbers.
For part b, ALL important points must be in exact form.
a)
f(x) = (x - 1)(2x2 - 5x - 12)
(10 Marks Application and 4 Marks Communication)
1- x2
f(x) =
1 + x2
b)
(10 Marks Application and 4 Marks Communication)