Question
Summarize the pertinent information obtained by applying the graphing strategy and sketch the graph of
(Type an exact answer. Use a comma to separate answers as needed.)
B. The function
has no local minimum.
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
Aype function
is concave upward on the subinterval(s) (
,
).
as needed.)
B. The function
is never concave upward.
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The function
is concave downate answers exact answer. Use a comma on the subinterval(s)
(Type your answer in interval notation. Type an exact answer. Use a comma to separate answers
as needed.)
B. The function
is never concave downward.
(Type an exact answer. Use a comma to separate answers as needed.)
B. The function
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
Aype function
as needed.)
B. The function
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The function
(Type your answer in interval notation. Type an exact answer. Use a comma to separate answers
as needed.)
B. The function
Ask by Ball Matthews. in the United States
Mar 12,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
- Local Minimum: The function
has no local minimum. - Concave Upward: The function
is concave upward on . - Concave Downward: The function
is never concave downward.
Solution

Sign in to Unlock Answers for Free!
A Learning Platform Trusted by Millions of Real Students and Teachers.

Answered by UpStudy AI and reviewed by a Professional Tutor
Like
The Deep Dive
To analyze the function
, we first find its derivative:
. Setting
to zero leads to a critical point, confirming that there is no local minimum. The function is indeed concave upward for all real numbers because the second derivative
is always positive.
In interval notation, the function is concave upward on
and concave downward on the empty set, meaning it never curves downwards. Therefore, we conclude: there is no local minimum, it’s concave upward on
, and it’s never concave downward.