$[3/4$ Points$]$

HARMATHAP$129\mathrm{.}2\mathrm{.}039.$

PREVIOUS ANSWERS

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

$y=\frac{34}{(p+6{)}^{\frac{2}{5}}}$

where $p$ is the price in dollars per unit.

$($a$)$ Is this function continuous for all values of $p?$

Yes, this function is continuous for all values of $p.$

No$,$ this function is not continuous for all values of $p.$

$($b$)$ Is this function continuous at $p=24?$

Yes, this function is continuous at $p=24.$

No$,$ this function is not continuous at $p=24.$

$($c$)$ Is this function continuous for all $p0?$

$$ Yes, this function is continuous for all $p0.$

No$,$ this function is not continuous for all $p0.$

$($d$)$ What is the domain for this application? $($Enter your answer using interval notation.$)$