Question

The number of graphs for which $f\left(x\right)$ is monotonically increasing or decreasing at the point $x=a$, is

Answer 1

a.Neither monotonically increasing nor decreasing as $f(a-h)<f\left(a\right)$ and $f(a+h)<f\left(a\right)$

b. Monotonically decreasing as $f(a-h)>f\left(a\right)>f(a+h)$

c. Monotonically increasing as $f(a-h)<f\left(a\right)<f(a+h)$

d. Neither monotonically increasing nor decreasing as $f(a-h)$ $<f\left(a\right)$ but $f(a+h)=f\left(a\right)$