Question

Which is a possible turning point for the continuous

function f(x)?
O (-2,0)
O (0, -2)
O (2-1)
O (4,0)

Answer 1

(0, -2)

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)