Question

Construct a function f(x) that satisfies the following conditions:

I. f is continuous for all x.
II. –10< = f(x) < = 10 for all x.
III.f does not have a maximum or minimum on the interval [negative infinity, infinity]

Answer 1

f(x)= { 1/e^x if 0<x≤∞

1/e^-x if -∞<x<0

Step-by-step explanation:

I'm pretty sure this is it and satisfies all your conditions.