Chapter 9.2, Problem 39E

Sales volume Suppose that the weekly sales volume (in thousands of units) for a product is given by

$y=\frac{32}{{\left(p+8\right)}^{2/5}}$ where p is the price in dollars per unit. Is this function continuous

(a) for all values of $p^2$? (b) at p = 24?

(c) for all $p\ge 0$?

(d) What is the domain for this application?