Question

x^2+4x+2 and 1-4x-x^2,{(x<-2),(x<=-2)}
is f continuous at x=-2

is f differentiable at x=-2? explain?

Answer 1

there is a typo in your question

Answer 2

where is the typo???

Answer 3

????

Answer 4

guessing the second part should be x>=-2

Answer 5

but satellite will answer question lol

Answer 6

\[ f(x) = \left\{
\begin{array}{lr}
x^2+4x+2 & : x <-2\\
1-4x-x^2 & : x> -2
\end{array}
\right.\]

Answer 7

not answering, just writing it!

Answer 8

take the derivative of both polynomials and check that they agree at -2. that is all

Answer 9

dont think its continuous

Answer 10

and therefore it cant be diffable

Answer 11

in that case forget it

Answer 12

sub -2 into the top function , you get -2

Answer 13

first one is -2 at -2
second one is some other number so forget it

Answer 14

sub -2 into the bottom one and you get 5

Answer 15

the one sided limits dont exist, so its not continuous

Answer 16

looks like we lost azkhan

Answer 17

and its not differentable either because diff ability requires continutity

Answer 18

so its not continuous or diff??

Answer 19

if it is not continuous it is certainly not differentiable. so no