Question

Let f(x) = { -x^2-4x+2, x is less tahn or = to 0 ; x+2 , x is greater than 0}

Determine whetehr f(x) is continuous at x=0

Answer 1

i think it is continuous cuz if you plug in 0 for both sides...you get 2

Answer 2

That isnt teh work i was looking for

Answer 3

i need to prove it with limit laws

Answer 4

well if you take the lim (x->0+) of x+2, you get 2...and the lim(x->0-) of -x^2-4x+2, you get 2...meaning they both approach 2...that means the function is continuous