5.2.13 EQues Find the x-values of all points where the function has any relative

Question

5.2.13 EQues Find the x-values of all points where the function has any relative extrema. Find the value(s) of any relative extrema. fix)=-x2 + 5x-2 Select the correct choice below and, if necessary, fill in any answer boxes within your choice. A. There are no relative minima. The function has a relative maximum of[ atxz O B. The function has a relative maximum of at x = and a relative minimum of O C. There are no relative maxima. The function has a relative minimum ofat x 0 D. There are no relative extrema. . (Use a comma to separate answers as needed.) (Use a comma to separate answers as needed.) (Use a comma to separate answers as needed.) at x = or ase ssic Click to select and enter your answer(s) and then click Check Answer All parts showing Clear All Check Answer

Explanation / Answer

y= -x²+5x-2

This is a parabola eqaution with leading coefficinet negative, hence it will open down.

Thus, there will be Realative maxima only

x = -b/2a

= -5/(2*(-1))

= 5/2

f(5/2) = 17/4

Correct option is A

Relative maximum of 17/4 at x =5/2

In decimal we can say

Relative maximum of 4.25 at x =2.5

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