3. Determine whether the following properties can be satisfiedby a function that is continuous on the interval (−∞, ∞). If such afunction is possible provide an example or a sketch of thefunction. If such a function is not possible explain why.
a. A function f is concave down and positive everywhere.
b. A function f is increasing and concave down everywhere.
c. A function f has exactly 2 local extreme and 3 inflectionpoints.
d. A function f has exactly 4 zeros (x-intercepts) and 2 localextreme.
