Question

HELP! For f(x)=xsqrt|x} find the maximum domain, maximum continuity range, and the range of the derivative.

Answer 1

\(f(x)=x\sqrt{x}\)

Answer 2

is that it? or something else?

Answer 3

\[f(x)=x \sqrt{|x|}\]

Answer 4

oh
that is different
first the domain, since \(|x|\geq 0\) always, the domain is all real numbers

Answer 5

then there are two choices, \(x\geq 0\) in which case this is \(x\sqrt{x}\) or \(x^{\frac{3}{2}}\)
otherwise if \(x<0\) this would be \(x\sqrt{-x}\)

Answer 6

you are talking about the domain or continuity? I thought you said domain was for all real numbers so why must it be split up to positive and negative?