Question: A2.1. For the function x- + 6x -3 f(x) = (x * 4), x-4 (i) find the points of intercept of the graph of f

A2.1. For the function x- + 6x -3 f(x) = (x * 4),
A2.1. For the function x- + 6x -3 f(x) = (x * 4), x-4 (i) find the points of intercept of the graph of f with the coordinate axes; (ii) divide the numerator by the denominator, and then describe the behaviour of f (x ) as x-> 100; (iii) describe the behaviour of f (x) as x approaches 4 from either side. [5] marks A.2.2 Using the (c-6)-definition of continuity, show that the real-valued function f with domain (0, co) defined by f(x) = - is continuous on (0, co). [5] marks

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