f(x) is increasing in $$\left( { - \infty ,{1 \over 2}} \right)$$ and decreasing in $$\left( {{1 \over 2},\infty } \right)$$

f(x) is decreasing in $$\left( { - \infty ,{1 \over 2}} \right)$$ and increasing in $$\left( {{1 \over 2},\infty } \right)$$

f(x) is increasing in ($$-$$ $$\infty$$, 1) and decreasing in (1, $$\infty$$)

f(x) is decreasing in ($$-$$ $$\infty$$, 1) and increasing in (1, $$\infty$$)

f(x) has local minima at more than one point in ($$-$$ $$\infty$$, $$\infty$$)

f(x) has local maxima at more than one point in ($$-$$ $$\infty$$, $$\infty$$)

f(x) has local minima at one point only in ($$-$$ $$\infty$$, $$\infty$$)

f(x) has neither maxima nor minima in ($$-$$ $$\infty$$, $$\infty$$)

The local maximum value is larger than local minimum value

The local maximum value is smaller than local minimum value

The function has no local maximum

The function has no local minimum

e

$${1 \over e}$$

$${2 \over e}$$

1