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For each of the following graphs, comme...

For each of the following graphs, comment whether f(x) is increasing or decreasing or neither increasing nor decreasing at x = a.
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Text Solution

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(i) Neither monotonically increasing nor monotonically decreasing as `f(a- h) lt f(a) and f(a+h) lt f(a)`
(ii) Monotonically decreasing as ` f(a-h) gt f(a) gt f(a+h)`
(iii) Monotonically increasing as ` f(a-h) lt f(a) lt f(a+h)`
(iv) Neither monotonically increasing nor monotonically decreasing as ` f(a-h) lt f (a)" but " f(a+h) = f(a)`
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