1.

For each of thefollowing graphs, comment whether f(x) is increasing or decreasing or neither increasing nor decreasing at x = a. (##CEN_GRA_C01_S01_018_Q01.png" width="80%">

Answer»

SOLUTION :(i) Neither monotonically increasing nor monotonically decreasing as `f(a- H) ltf(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) Neithermonotonically increasing nor monotonically decreasing as ` f(a-h) lt f (a)" but " f(a+h) = f(a)`


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