Let `f : [-3, 4] to R` such that `f ''(x) gt 0` for all `x in [-3,4],` then which of the following are always true ?

Let f'(x)gt0 and g'(x)lt0 for all x in R, then

If f(x)=int_(0)^(x)(e^(t)+3)dt , then which of the following is always true AA x in R

Let f : R to R be a function such that lim_(x to oo) f(x) = M gt 0 . Then which of the following is false?

Let f(x)=x^(2)-3x+4;x =3 Let g(x)=x+6;x =4 then which of the following are true

Let f:R rarr R be a function.Define g:R rarr R by g(x)=|f(x)| for all x .Then which of the following is/are not always true-

Let f'(x) gt0 and g'(x) lt 0 " for all " x in R Then

Consider f(x)={: {(x^(2)-4x+3,,x 2):} ,from R to R ,then which of the following is/are true for f

Let f (x) =ax ^(2) + bx+ c,a gt = and f (2-x) =f (2+x) AA x in R and f (x) =0 has 2 distinct real roots, then which of the following is true ?

Let f (x) =ax ^(2) + bx+ c,a gt = and f (2-x) =f (2+x) AA x in R and f (x) =0 has 2 distinct real roots, then which of the following is true ?