Knowledge (15) - Asymptotes/One-Sided Limits/crossover points - Derivatives - Completion of 4 Sketches Thinking (3) - Analysis of Graph Behaviour - Intervals of Increase/Decrease/Concavity - Critical Points Communication (2) - Organization of your solutions - Use of appropriate mathematical conventions and form in graphs and solutions Based on the curve sketching techniques discussed in Calculus and Vectors, analyze and sketch each function below. Label your sketch with ALL relevant points. Start each question on a new page. Sketch a detailed graph of all the 4 graphs on one single page. One of your solutions will be marked in detail. The graphs of all the others will also be marked 1. f(x)=x 4 −2x 2 +1 2. f(x)= x−1 x 2 −x−6 ​ 3. f(x)= x 2 −2x+1 x 2 −3x−4 ​ 4. f(x)= x 2 −5x+4 x+2 ​ Note: If g(x)=x 3 +6x 2 −42x+62, then x≈−10.5 is the only root of g(x).