Mathematics A 9-1 4MA1: Sequences, Functions and Graphs Topical Past Paper Questions

(a) On the number line, represent the inequality w (1) The region R, shown shaded in the diagram, is bounded by three straight lines. (b) Write down the three inequalities that define the region R (3)

A curve has equation $ y = f(x) $ There is only one minimum point on the curve. The coordinates of this minimum point are (5, 4) Write down the coordinates of the minimum point on the curve with equation (i) $ y = f(x + 5) $ (ii) $ y = 3f(x) $ (_____, ___) $$ (iiii)\ y=f(x)-7 $$…

The straight line with equation $ y - 2x = 7 $ is the perpendicular bisector of the line AB where A is the point with coordinates $ (j, 7) $ and B is the point with coordinates $ (6, k) $. Find the coordinates of the midpoint of the line AB. Show clear algebraic working.