Question

can i get some help on #8 please

Answer 1

What does the graph of \[x^2\] look like? Similarly, what does the graph of \[-x^2\] look like?

Answer 2

i am going to assume you can graph both of these, then the question is
"is it continuous at \(x=-2\) ?" and you check this by replacing \(x\) by \(-2\) in both expressions and see if you get the same answer

Answer 3

the derivative of the first expression is \(2x+4\) and the derivative of the second expression is \(-2x-4\) now replace \(x\) by \(-2\) and see if these agree (they do, you get 0 both times) so it is differentiable at \(x=-2\)

Answer 4

thank you very much ![: