Question

Find the open intervals where the function is concave upward or concave downward. Find any inflection points. ​f(x)= −2x^2−4x+1 Where is the function concave upward and where is it concave​ downward? Select the correct choice below​ and, if​ necessary, fill in the answer​ box(es) to complete your choice.

A. The function f is concave downwarddownward everywhere.

B. The function f is concave upwardupward everywhere.

C. The function f is concave downward on the open​ interval(s) nothing and the function is concave upward on the open​ interval(s) nothing. ​(Type your answers in interval notation. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as​ needed.)

D. The function f is neither concave downward nor concave upward.