Find the largest open intervals on which the function is concave upward or concave downward, and find the location of any points

Question

Find the largest open intervals on which the function is concave upward or concave downward, and find the location of any points of inflection.
f(x) = -5x²-3x-1
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Select the correct choice below and fill in the answer box(es) to complete your choice.
(Type your answer in interval notation. Use a comma to separate answers as needed. Use integers or fractions for any numbers in the expression.)
OA. The function is concave upward on
and concave downward on
OB. The function is concave downward on
OC. The function is concave upward on
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The point(s) of inflection is/are at
(Type an ordered pair. Use a comma to separate answers as needed.)
B. There is no point of inflection.
The function never has an interval that is concave upward/downward.
The function never has an interval that is concave upward/downward.

Kunduz · Accepted Answer

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