[Maximum mark: 7] Consider the function f(x)=3x+7 (a) Find 7(0) and f(2) Write down f(a) interms a. Find a, given that f(a)=10 Find A, given that f(b)=22 Hence, complete the following table of values f(x) 10 | 13 [2] [1] [1] [1] [2] 2. [Maximum mark: 7] The graph of the function f is shown below. Write down the domain of the function. Write down the range of the function. Write down the values of (i) /(2), (i) f(4) Given the f(a)=35, write down the value of Write down the minimum value and the maximum value of the function. [1] [1] [2] [1] [2] 1. [Maximum mark: 10] Let f (x) = 10 -2x and g(x) = 5x. Calculate (a) (fog)(x) and (g . f)(x) [2] (b) (f of ) (x) and (g . g) (x) [2] ( c) f- (x ) [2] (d) g-(10) [2] (e) (f-. g)(x) and (g . f )" (x) [2]3. [Maximum mark: 8] The tables below show some values of two functions f and g 2 3 4 1 2 3 4 f(x) 2 -3 -1 3 g(x) 5 3 1 -3 (a) Write down the values of g(3), f-(3) [2] (b) Calculate (f g)(2) [2] (c) Calculate (g g)(3) [2] (d) Find a solution of the equation ( go f )(x) = 3 [2][Maximum mark: 9] Consider the arithmetic sequence 13, 18, 23, 28, 33, 38, ... The terms of the sequence lie on the line L. (a) Find (i) the n-thterm u, of the sequence in terms of (i) the equation of the line L in the form y =mx+c. (b) Write down a comment about the gradient m of the line L in the context of the arithmetic sequence. (c) Determine whether the points A(-1, 3), B(10, 58), C(0.2, 9) lie on the line. (d) Write down a comment about the y -coordinates of A, B, C in the context of the arithmetic sequence. [3] [1] [3] [2] [Maximum mark: 7] Consider the following data x 1 2 3 4 y 2 3 7 8 (a) Find the correlation coefficient r. [1] (b) Describe the relation between x and y. [2] (c) Find the equation y = ax+b of the regression line for y on x. [2] (d) Describe what the coefficient a represents. [1] (e) Describe what the constant b represents. [1]