Consider the following graphs of the functions. Check each for the extrema at x=a

Explanation

(i) `f(x)gt(a-delta)` and `f(x)gtf(a-delta)`
So,x=a is point of maxima.
(ii) `f(a) lt (a-delta)` and `f(a)gtf(a+delta)`
So , x =a is neither point of maxima nor point of minima.
(iii) `f(a) lt f(a-delta)` and `f(a) gt f(a+delta)`
So ,x=a is neither point of maxima nor point of minima
(iv) `f(a) lt f(a-delta)` and `f(a)lt f(a+delta)`
So ,x=a is point of minima.