[" (A) "f(x)>0" for all "f(x)=x^(2)+4x+1," then "],[[" (C) "f(x)>=1" when "x<=-4," (B) ",f(x)>=1" when "x>=0],[" (D) ",f(x)=f(-x)" for all "x]]

Let f(x)=x^(2)+4x+1. Then (A) f(x)>0 for all x(B)f(x)>1 when x>=0 (C) f(x)>=1 when x<=-4(D)f(x)=f(-x) for all x

If f (x)=4x -x ^(2), then f (a+1) -f (a-1) =

If f (x)=4x -x ^(2), then f (a+1) -f (a-1) =

If f(x) = 4x - x^2 , then f (a + 1) - f( a - 1) =

Let f(x)=x^3-6x^2+15 x+3 . Then, (a) f(x)>0 for all x in R (b) f(x)>f(x+1) for all x in R (c) f(x) is invertible (d) f(x)<0 for all x in R

If x^2f(x)+f(1/x)=2 for all x except at x=0 then int_(1/3)^3 f(x) dx=

If f'(x^2-4x+3)gt0 " for all " x in (2,3) then f(sinx) is increasing on

If f'(x^2-4x+3)gt0 " for all " x in (2,3) then f(sinx) is increasing on

Let f(x) be defined for all x > 0 and be continuous. Let f(x) satisfy f((4x)/y)=f(x)-f(y) for all x,y and f(4e) = 1, then (a) f(x) = In 4x(b) f(x) is bounded (c) lim_(x->0) f(1/x)=0 (d) lim_(x->0)xf(x)=0

For the function y=f(x)=(x^2+b x+c)e^x , which of the following holds? (a) if f(x)>0 for all real x f'(x)>0 (a) if f(x)>0 for all real x=>f'(x)>0 (c) if f'(x)>0 for all real x=>f(x)>0 (d) if f'(x)>0 for all real x f(x)>0