Which is a possible turning point for the continuous
function f(x)?
O (-2,0)
O (0, -2)
O (2-1)
O (4,0)
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Answer:
(0, -2)
Step-by-step explanation:
A turning point is a point at which the derivative changes sign from positive to negative or vice versa. Then, a turning point coincides with a relative maximum or a relative minimum (also known as local minimum and maximum).
From the table, we see that f(x) decreases from x = -6 to x = 0 and it increases from x = 0 to x = 6. Therefore, there is a minimum at (0, -2)