Question

Determine whether the following function is continuous at x=4.

f(x)= square root of x if x>4
f(x)= 5 if x=4
f(x)=x-2 if x<4

Answer 1

HI!

Answer 2

plug in 4 in to each, see if they agree

Answer 3

hint, they do not, sinice \(2\neq 4\neq \sqrt2\)

Answer 4

so it is not continuous?

Answer 5

we can go back and do the other one if you like, it is not hard
no definitely not continuous

Answer 6

want to go back to \[f(x)=x-\sqrt[3]{1-x}\]?

Answer 7

sure!