Question: How to find the function for the equation? QUESTION 1 a) Given a function f(x) = x' - 4x +4x. ) Find the x-intercept(s) of

How to find the function for the equation?

QUESTION 1 a) Given a function f(x) = x' - 4x +4x. ) Find the x-intercept(s) 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 relative extremum of f(x) (if any)- (4 marks) iv) Find the interval(s) where f(x) is concave up or concave down. Hence, determine the inflection point of f(x) (if any)- (3 marks) QUESTION 2 a) Consider a function f(x) = =+2. i) Simplify f(x) in the form of P(x) q(x) .9 (x ) *0. (1 mark) ii) Find the vertical asymptote and horizontal asymptote and its analysis. (3 marks) iii) Find the interval(s) where f(x) is decreasing. (3 marks) iv) Find the interval(s) where f(x) is concave up or concave down.

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