InterviewSolution
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InterviewSolution
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Draw the graph of y = x sin x. |
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Answer» Solution :We have y = f(x) = x sin x. First draw the graph of `y = +-x`. Now CONSIDER the values of f(x) for quadrant angles. f(0) = 0 `f(pi//2) = pi//2` `f(pi) = 0` `f(3pi//2) = -3pi//2` `f(2pi) = 0` `f(5pi//2) = 5pi//2` ETC. POINTS `(pi//2, pi//2), (5pi//2, 5pi//2), ...` lie on the graph of y = x. Points `(3pi//2, 3pi//2), (7pi//2, 7pi//2),...` lie on the graph of y = -x. Further f(x) = f(-x), hence the function is EVEN and the graph is symmetrical about the y-axis. From the above discussion, the graph of the function is as shown in the following figure. 
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