The function g(x) = p sin x +q, where p>0, has a maximum value of 10 and a minimum value of -4. Find the value of p and of q.
1 answer:
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Answer:
Option (4)
Step-by-step explanation:
From the graph attached,
A, B and C are the points based at the heights and valleys of the given curve.
y-coordinates of these points always decide, whether the point is a local maxima or local minima.
y-coordinate of A → -4
y-coordinate of B → 0
y-coordinate of C → -4
Ends of the curve are moving towards infinity, so the absolute maximum is not defined.
Local minimum → -4
Local maximum → 0
Therefore, point representing local maximum is B(0, 0).
Points representing local minimum are A(-2, -4) and C(2, -4).
Option (4) will be the correct option.
