" 6.Show that "f(x)=(1)/(1+x^(2))" decreases in the interval "|0,oo" ) and increases in the interval "(-oo,0]

Show that f(x)=(1)/(1+x^(2)) decreases in the interval [0,oo) and increases in the interval (-oo,0].

Show that f(x)=(1)/(1+x^(2)) decreases in the interval [0,oo) and increases in the interval (-oo,0].

Show that f(x)=1/(1+x^2) decreases in the interval [0,oo) and increases in the interval (-oo,0]dot

Show that f(x)=1/(1+x^2) decreases in the interval [0,\ oo) and increases in the interval (-oo,\ 0] .

y= f(x) is a polynomial function passing through point (0, 1) and which increases in the intervals (1, 2) and (3, oo) and decreases in the intervals (-oo,1) and (2, 3). If f(1)= -8, then the range of f(x) is (a) [3,oo) (b) [-8,oo) (c) [-7,oo) (d) (-oo,6]

Show that f(x)=(1)/(x) is a decreasing function on (0,oo)

Show that f(x)=(1)/(x) is decreasing function on (0,oo)

Find a polynomial f(x) of degree 4 which increases in the intervals (-oo,1) and (2,3) and decreases in the intervals (1,2) and (3,oo) and satisfies the condition f(0)=1