Question

The hypercritical value = 2 is obtained from a continuous function. Let f(x) and g(x) Based only on this information, what can we say for sure happens, if anything? Select all that apply

a. Local minimum at x=2
b. None of these are true.
c. Is concave upward on local maximum at x=2
d. Is concave upward on inflection point at x=2

Answer 1

Based on the continuous function with hypercritical value = 2, the function is concave upward at x=2 and has an inflection point at x=2.

Step-by-step explanation:

Based on the given information that the hypercritical value is obtained from a continuous function, we can make the following conclusions:

• a. There is no local minimum at x=2, as it is not specified or implied by the information given.
• c. The function is concave upward at x=2, meaning it has a local maximum at x=2.
• d. The function has an inflection point at x=2, as it is concave upward at that point.

Therefore, options c and d are true based on the given information.