which question is about differentiation topic

CONFIDENTIAL 2 CS/JUL QUESTION 1 a) Given f(x)=(2-x)(x-5). i) Find the xintercept(s) and the y intercept(s). ii) Find the intervals where f(x) is increasing and decreasing. Hen the relative extremum of f(x), if any. iii) Find the intervals where f(x) is concave up and concave do determine the inflection point of f(x), if any. iv) Sketch the graph of f(x) using the information obtained from (i) to (iii x x+6 b) Given f(x)= i) Find the xintercept(s) and the y intercept(s). (2 marks) ii) Find the vertical and horizontal asymptotes. (3 marks) iii) Hence, sketch the graph. (2 marks) QUESTION 2 a) The Mean-Value Theorem for differentiation states that if f(x) is continuous on [a,b] and differentiable on (a,b), then there exists a number C in (a,6) such that no) fa) b-a Find the value(s) of C for the function f(x) =(x+ 2) 2 on the interval [-2,1]. (4 marks) Hak Cinta Universiti Teknoloai MARA CONFIDENTIAL