Question

Describe the interval(s) on which the function is continuous. (Enter your answer using interval notation.)


`x √(x+7)`

Answer 1

Note that only exists for and is undefined elsewhere (assuming ). Everywhere else, it is defined and continuous, i.e. the function is continuous everywhere for .

Explanation:

Answer 2

Note that
`x√(x+7)` only exists for
`x\ge-7` and is undefined elsewhere (assuming
`x\in\mathbb R`). Everywhere else, it is defined and continuous, i.e. the function is continuous everywhere for
`x\in[-7,\infty)`.