Question
Given the non-polynomial function $f(x) = x - 3x^{1/2} + 2$, determine the following:
(a) domain of $f$ (in interval notation)
(b) $y$-intercept (as ordered pair)
(c) $x$-intercepts (as ordered pairs, listed from left to right)
(d) local minimum (as ordered pair)
(e) interval when increasing (in interval notation)
Provide your answer below: