QUESTION 1 a) Given a function f(x) = x3 -7x2 + 15x -10. i) Find the y-intercept of f(x) . (2 marks) ii) Find the critical points of f(x). (3 marks) iii) Find the interval(s) where f(x) is increasing or decreasing. Hence, determine the extremum point(s) of f(x). (3 marks) iv) Find the interval(s) where f(x) is concave up or concave down. Hence, determine the inflection point of f(x). (4 marks) QUESTION 2 a) Given a function f(x) = 3x +2 x - 3 i) Find x-intercept and y-intercept. (2 marks) ii) Find the vertical asymptote and horizontal asymptote. (2 marks) ii) Find the interval(s) where f(x) is increasing or decreasing. (3 marks) iv) Find the interval(s) where f(x) is concave up or concave down