Statement 1: The function `f(x)=x^4-8x^3+22 x^2-24 x+21` is decreasing for every `x in (-oo,1)uu(2,3)` Statement 2: `f(x)` is increasing for `x in (1,2)uu(3,oo)` and has no point of inflection.

Determine the intervals in which the function f(x)=x^4-8x^3+22 x^2-24 x+21 is decreasing or increasing.

Determine the intervals in which the function f(x)=x^4-8x^3+22 x^2-24 x+21 is decreasing or increasing.

Q 9.The function f(x)=-2x^(3)+21x^(2)-60x+41 , in the interval (-oo,1) is: a. 0

The function defined by f(x)=(x+2)e^(-x) is (a)decreasing for all x (b)decreasing in (-oo,-1) and increasing in (-1,oo) (c)increasing for all x (d)decreasing in (-1,oo) and increasing in (-oo,-1)

Let f be the function f(x)=cosx-(1-(x^2)/2)dot Then (a) f(x) is an increasing function in (0,oo) (b) f(x) is a decreasing function in (-oo,oo) (c) f(x) is an increasing function in (-oo,oo) (d) f(x) is a decreasing function in (-oo,0)

The function f(x) = "max"{(1-x), (1+x), 2}, x in (-oo, oo) is

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

If the function f(x)=2x^2-k x+5 is increasing on [1,\ 2] , then k lies in the interval (a) (-oo,\ 4) (b) (4,\ oo) (c) (-oo,\ 8) (d) (8,\ oo)

For the function f(x)=4/3x^3-8x^2+16 x+5,x=2 is a point of (1)local maxima (2) local minima (3)point of inflexion (4) decreasing/increasing

For the cubic function f(x)=2x^3+9x^2+12 x+1, which one of the following statement/statements hold good? 1 . f(x) is non-monotonic. 2 . f(x) increases in (-oo,-2)uu(-1,oo) and decreases in (-2,-1) 3 . f: RvecR is bijective. 4 . Inflection point occurs at x=-3/2dot