Question

Let g(x)=
x if x<1
3 if x=1
2-x^2 if 12 As x approaches -1, g(x)=-1 As x approaches 1, g(x)=3 g(1)= ? As x approaches -2, g(x)= -2 As x approaches +2, g(x)= -2 As x approaches 2, g(x)= -2. The limit exists. Sketch the graph. Can someone help me sketch the graph and help me figure out g(1)?

Answer 1

g(1)=3

Answer 2

how?

Answer 3

is it because g(x)= 3 if x=1?

Answer 4

well what

Answer 5

yes

Answer 6

and the limit as x approaches 1 doesn't exist right?

Answer 7

yes it does not discontinuous

Answer 8

okay.. thank you!