according to the table, which ordered pair is a local maximum of the function, f(x)? x f(x) -2 0 -1 45 0 64…

according to the table, which ordered pair is a local maximum of the function, f(x)? x f(x) -2 0 -1 45 0 64 1 45 2 0 3 -35 4 0 5 189 6 640 (0, 64) (3, -35) (5, 189) (2, 0)

according to the table, which ordered pair is a local maximum of the function, f(x)? x f(x) -2 0 -1 45 0 64 1 45 2 0 3 -35 4 0 5 189 6 640 (0, 64) (3, -35) (5, 189) (2, 0)

Answer

Answer:

A. (0, 64)

Explanation:

Step1: Understand local maximum

A local maximum is a point where the function value is greater than the values at nearby points.

Step2: Check values around each point

For (x=-2), (f(-2) = 0), (f(-1)=45), so not a local - max. For (x = - 1), (f(-1)=45), (f(0)=64), so not a local - max. For (x = 0), (f(-1)=45), (f(1)=45), and (64>45), so ((0,64)) is a local maximum. For (x = 1), (f(1)=45), (f(2)=0), so not a local - max. For (x = 2), (f(2)=0), (f(3)= - 35), but (f(1)=45>0), so not a local - max. For (x = 3), (f(3)=-35), (f(4)=0), so not a local - max. For (x = 4), (f(4)=0), (f(5)=189), so not a local - max. For (x = 5), (f(5)=189), (f(6)=640), so not a local - max.