QUESTION 7 7.1 Polya described four steps in the solving of a mathematics problem. Here is a problem: How many squares does a 6 x 6 square checkerboard design contain if the six units on each side is the same length? 7.1.1 Now use the steps of Polya to solve this problem. You must explain in detail what you are doing in each step. (8) 7.1.2 Generalise your findings in 7.1.1 to find a formula for the amount of squares in an n x n square. (2) 7.2 What is the purpose of proof in Mathematics? (4 ) 7.3 Discuss the following aspects with regards to proof in Mathematics: 7.3.1 explanation 7.3.2 discovery (4) [18] 46 TMS3725/101/0/2021 QUESTION 8 8.1 Given f(x) =2* 8.1.1 Write down the equation of f-1 in the form f (x) = ... (1) 8.1.2 Sketch the graphs of f and f (x) on the same system of axis in your answer book (6) 8.1.3 Write down the domain of the function of f-1 (2) 8.1.4 For which values of x will f (x). f-1(x) so? (2) 8.1.5 Write down the domain of h(x) = 2-x - 3 (2) 8.1.6 What is the equation of the asymptote line of h(x) = 2-* - 3