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Question 1 Given functions f(x) = sz 1 and g(x) = 3x 5, nd: a- (f g)(3) {3 Marks) b. (1' f)(2) {3 Marks) [Sub Total 6 Marks] Question 2 . . 211 1+4 . Given the functions f (x) = x_2 and 90:) = 2x_5.FInct a. (9 9) (x) (7 Marks) b. 0' g)(x) (7 Marks) [Sub Total 14 Marks] Question 3 Given the polynomial function, f(x) = 2(:r2 + 3)3 a. List each real zero and its multiplicity. (2 Marks) b. Determine whether the graph crosses or touches the x-axis at each x-intercept. (1 Mark) 0. Determine the maximum number of turning points on the graph. (2 Marks) [Sub Total 5 Marks] Question 4 Find a polynomial function that has the given zeros, 4 + and 4 '5. {5 Marks) Question 5 a. Calculate all real zeros of the polynomial function, f (x) = xz +22: g. {5 Marks) b. Determine whether the multiplicity of each zero is even or odd. (2 Mark) c. Determine the maximum possible number of turning points of the graph of the function. (1 Mark) [Sub Total 8 Marks] SCMA111 Test (Version A) Paper 32 2020| V1.0 Page 2 of 3 Question 6 A 50mg sample of a radioactive substance decays to 34 mg after 30 days. How long will it take for there to be 2mg remaining? {8 Marks) Question 7 212+1 124' Determine the asymptotes if any of the following rational function, R(x) = {4 Marks) End of Section A