Question

Please, Please, Please Help!
Sketch the graph of a function g(x) that satisfies the following conditions. Be sure to label your graph and axes as appropriate. Note that you may choose any behavior for the graph of g(x) as long as the following seven traits are displayed on your graph:
a. g(x) has its y-intercept at y=1
b. g(x) is continuous at x = 1
c. g'(1) does not exist
d. g(1)=g(2)=3
e. lim x-> 2^(+) g(x) = negative infinity
f. lim x-> infinity g(x) = 1
g. g''(x)>0 on (negative infinity, 1).

Answer 1

Good Lord..

Answer 2

did you try? try making one and we'll proceed from there...

Answer 3

I did, let me draw it.