Question

A 2-column table with 7 rows. The first column is labeled x with entries negative 4, negative 3, negative 2, negative 1, 0, 1, 2. The second column is labeled f of x with entries negative 6, negative 4, negative 1, negative 2, negative 5, negative 8, negative 16.
Which is a possible turning point for the continuous function f(x)?

(–3, –4)
(–2, –1)
(0, –5)
(1, –8)

Answer 1

(-2, -1)

Reason: f increases from -6 to -4 to -1 (x = -4 to -3 to -2) then decreases to -2 (x = -1), so x = -2 is a local maximum (turning point).