Page 29 - Math SL HB Sem 2

I

0.2) I
Ir

I I

I 0 I
I (0, -r) I

I I I

I I I

(Total 6 marks)

!
-
8. Consider/(x) = ,' * 2r' 5r. Part of the graph of/is shown below. There is a maximum
3
point at M, and a point of inflexion at N.

(a) Find/'(-r).
(3)

(b) Find the r-coordinate of M.
(4)

(c) Find the x-coordinate ofN.
(3)

(d) The line I is the tangent to the curve of/at (3, l2). Find the equation ofZ in the form
y=ax+b.
(4)
(Total 14 marks)

5