Question

hi everybody i have question on increasing and decreasing function
f(x)=x^1/2
it increasing on [0,&)
why 0 is including
and x^3-3x^2+1
it increasing on (-&,0].[2,&) why here also including since -x2 - 2x + 15 decreasing on
(-1, +∞) and 1 is not including

Answer 1

f(x)=x^1/2
well, at first if x=0, then y=0 ──> (0,0)
if x=∞ (I think that's what you meant by saying &) then the y would be still between 1 and 0, but it would be approaching zero.

Lets say x is negative,\[knowing~~that~~,~~A^{1/2}=\sqrt[2]{A^{1}~}=\sqrt{A}\]
the n we can say that all negative values will be undefined, so they are not part of the function... yeah, it would be [0 if x=0
and ∞) because the x can be any large positive value.

Answer 2

So, zero is included when x=0.

Answer 3

(0)^1/2=0

Answer 4

on x^2 not including why i have second exam in few days

when i can say including and not including and what the meaning of undfine

Answer 5

student_basil