Unit 2: Rational Functions - Thinking Task (1 page)
This is an evaluation that must be completed on your own, with no help from tutors, friends or the intemet. To eam full marks, you must justify your solution. Include the following as needed: Show diagram, Define variables, State formula, theorem, equation or function used, Show substitutions and or steps in solving an equation, State restrictions, State concluding statement, Use correct notation. No marks are given if your solution includes: e or In, differentiation, integration. This is an evaluation, make sure you are completing the work on your own.
3. Does the rational function below meet the following constraints:
A) Has a hole at \( x=0 \)
B) Has VAs at \( x=2 \), and \( x=-2 \)
C) Has a HA at an odd whole number (i.e HA can be at \( y=1,3,5 \), etc)
RATIONAL FUNCTION: \( \quad r(x)=\frac{12 x(x-3)^{2}}{3 x^{3}-12 x} \)
For each constraint, show justification for why you believe, or don't believe that the constraint is met by the given equation. Can be algebraic or explained in words.
