Question

At what point(s) (if any) is the following function continuous? (pls see attached< I am stumped with this one)

Answer 1

at all integer points

Answer 2

thanks him, can you pls explain why?

Answer 3

try to put an integer point, any integer A into the eqn
f(A) = -A +1
LHL = ( (A-h)^2 -1)^2
RHL = ((A+h)^2 - 1)^2
they are unequal, so it is discontinuous at those pts

Answer 4

Because that was not one of the answers:
a) Continuous at x = 0, -1 and all non-integral values
b) Continuous at x = 0, 3 and all non-integral values
c) Continuous at x = 0 and 3
d) Continuous at x = 0, 1 and all non-integral values
e) Continuous at x = 1 and all non-integral values

Answer 5

I think I see what you mean

Answer 6

i think its e

Answer 7

bcoz at 1 the fn is continuous

Answer 8

answer is d