Question: 6 If f (x) = -x+2, (a) write down in simplest form (i) f(-x) (ii) -f(x) and (iii) -f(-x). (b) on the same number plane,


6 If f (x) = -x+2, (a) write down in simplest form (i) f(-x) (ii) -f(x) and (iii) -f(-x). (b) on the same number plane, neatly sketch and clearly label the functions (i) y = f(x) (ii) y=f(-x) (iii) y = -f(x), and (iv) y = -f(-x) . 7 If g(t) = find (a) g(5) (b) g(x + 1) (c) the value of t if g (t) = 2. (d) State the domain of g . (e) State the range of g . (f) State the asymptotes of g.(3} Use the com plating square method to rewrite the equation of the circle 12+y2+21-4y44=D inthefon'n {xx)2+{y_yu)2 =r2_ {b} What is the centre and radius of the circle? y=2x25 On the curve 3.- = 2x2 - 5 lie two points P and Q. Let the abscissa of P be it and the abscissa of Q be 3: + h. (a) State the coordinates of P and Q. (bi Using these points nd the gradient of the secant P0. (-3} Find the gradient of the tangent at P by letting h -a D
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