The Image of the interval [1,3] under the mapping f:R to R , f(x)=2x^3-24x+107 is

Find the image of interval [-1,3] under the mapping specified by the function f(x)=4x^3-12 xdot

Find the image of interval [-1,3] under the mapping specified by the function f(x)=4x^3-12 xdot

Find the image of the following sets under the mapping f(x)= x^4 -8x^3 +22x^2 -24x + 10 (i) (-oo,1)

f:R to R given by f(x)=5-3 sin x, is

The composite mapping fog of the maps f:R to R , f(x)=sin x and g:R to R, g(x)=x^(2) , is

The composite mapping fog of the maps f:R to R , f(x)=sin x and g:R to R, g(x)=x^(2) , is

The image of [-1,3] under f is not the interval [f(-1),f(3)] Statement-2: f is not an injective map.

Find the maximum value of 2x^3-24 x+107 in the interval [1, 3]. Find the maximum value of the same function in [-3, -1]dot

Find the intervals in which f(x)=2x^3-24 x+107 is increasing or decreasing.

If R is the set of real numbers prove that a function f: R -> R,f(x)=e^x , x in R is one to one mapping.