Functions, Graphs and Statistics Test 1

Instructions

Let $$A_{1},A_{2},.....A_{n}$$ be then points on the straight - line y = px + q. The coordinates of $$A_{k}is(X_{k},Y_{k})$$, where k = 1, 2, ...n such that $$X_{1},X_{2}....X_{n}$$ are in arithmetic progression. The coordinates of $$A_{2}$$ is (2,–2) and $$A_{24}$$ is (68, 31).

Q 1

The y - ordinates of $$A_8$$ is

Q 2

The number of point(s) satisfying the above mentioned characteristics and not in the first quadrant is/are

Instructions

For the following questions answer them individually

Q 3

G(n) = G(n-1)+1 if 'n' is a multiple of 4. G(n) = G(n-1) -1 if 'n' is not a multiple of 4. If G(0) = 10, what is the value of G(77)?

Q 4

If f(x) = $$\frac{\log |x|}{|3x|+7}$$, what can be said about the nature of f(x)?

Q 5

Which of the following is an even function?

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