Question

Is the function continuous?

Answer 1

find the limit as x approaches from right of 3
and from the left of 3

Answer 2

that is check to see if 5(3)+1 is equal to 3^2+7

Answer 3

if they are equal then the function is continuous at x=3
if they aren't equal then the function isn't continuous at x=3
note: it is definitely continuous everywhere else since both bits are polynomials

Answer 4

ohh ok theyre continuous at x=3

Answer 5

yep so it is continuous everywhere
the only real question here was "is it continuous at x=3" and the answer is yes

Answer 6

thank you!

Answer 7

np