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Posted: **Tue Jul 12, 2022 12:45 pm**

: Question 7 21 Marks A Carefully Expand The Function 4 X 2 X 1 To Show That 4 X 2 X 1 4x 12x 8 B Consider 1 (31.68 KiB) Viewed 51 times

: Question 7 21 Marks A Carefully Expand The Function 4 X 2 X 1 To Show That 4 X 2 X 1 4x 12x 8 B Consider 2 (28.61 KiB) Viewed 51 times

Question 7 (21 marks) (a) Carefully expand the function 4(x+2)(x-1) to show that 4(x+2)(x-1)² = 4x³-12x+8. (b) Consider the function y=f(x)=x²-6x² +8x-3. (i) Write down the coordinates of the x and y intercepts of the graph of this function. [2 marks] [2 marks] (ii) Without use of technology and using calculus, find the position and nature of the stationary points of the graph of this function. Hint: The result in part (a) of this question may be useful here. [7 marks]

(iii) Without use of technology and using calculus, find and classify the points of inflection of the graph of this function. [6 marks] (iv) Sketch the graph of this function, clearly labelling all the points that you have found above. [4 marks]