Question 2: SHORT QUESTIONS / CALCULATIONS

Give the correct name for the following statements.

2.1 Solve the system of equation

2.2 Given:

a) Calculate all the asymptotes of f(x), must show all working out clearly on the space below:

b) Sketch the graph of f(x): (Pencil is allowed to draw graph)

(i) Graph of f(x) must be accurate (ii) Label and show the asymptotes correctly

(iii) Must show on the graph any ‘points’ of discontinuity for f(x).

(2)

c) Clearly describe the behaviour of the graph of f(x) and comment on any ‘discontinuities’ of f(x)

2.3 Calculate:

Show all working clearly on space below:

2.4 Show clearly by calculations why:

, is defined as one-sided limits.

2.5

The diagram shows a cube in which the length of each side is 4 units. The unit vectors i, jand k are parallel to respectively. The mid-points of OA and DG are P and Q respectively and R is the centre of the square face ABFE.

Use a scalar product to find angle QPR.