6 If f(x)=x+2, (a) write down in simplest form (i) f(-x) (ii) -f(x) and (ii) f(-x)....

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6 If f(x)=x+2, (a) write down in simplest form (i) f(-x) (ii) -f(x) and (ii) 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) t- (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. 8 (a) Use the completing square method to rewrite the equation of the circle x+ y+2x-4y - 44 = 0 in the form (x x0) + (y yo) = r. (b) What is the centre and radius of the circle? 9 y = 2x-5 P x On the curve y = 2x - 5 lie two points P and Q. Let the abscissa of P be x and the abscissa of Q be x+h. (a) State the coordinates of P and Q. (b) Using these points find the gradient of the secant PQ. (c) Find the gradient of the tangent at P by letting h0. 6 If f(x)=x+2, (a) write down in simplest form (i) f(-x) (ii) -f(x) and (ii) 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) t- (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. 8 (a) Use the completing square method to rewrite the equation of the circle x+ y+2x-4y - 44 = 0 in the form (x x0) + (y yo) = r. (b) What is the centre and radius of the circle? 9 y = 2x-5 P x On the curve y = 2x - 5 lie two points P and Q. Let the abscissa of P be x and the abscissa of Q be x+h. (a) State the coordinates of P and Q. (b) Using these points find the gradient of the secant PQ. (c) Find the gradient of the tangent at P by letting h0.