A 2-column table with 9 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1, 2, 3, 4, 5, 6. The second
column is labeled f of x with entries 0, 45, 64, 45, 0, negative 35, 0, 189, 640. According to the table, which ordered pair is a local maximum of the function, f(x)?
(0, 64)
(3, –35)
(5, 189)
(2, 0)
The local maximum of a function at a certain point in its domain is the value which is greater than or equal to the values at all other points in the immediate vicinity of the point.
Given the table:
From the table, (0,64) is a local maximum of the function f(x) as it is greater than the points around it.
