Question

Determine whether the statement is true or false.
There exists a function f such that
f(x) > 0,
f '(x) > 0,
and
f ''(x) < 0
for all x.

Answer 1

true or false question

Answer 2

so, you want f(x) to be positive, increasing, concave down
How about f(x) = √x

Not sure if it's possible with a domain of all reals ...