Question

Which is a possible turning point for the continuous function f(x)?

(–2, 0)
(0, –2)
(2, –1)
(4, 0)

Answer 1

(0,-2) as that is the point when the value of fx at either side of it is greater than itself

Answer 2

Turning points:

All points on the function where function changes it's shape

At turning point , it will either go from increasing to decreasing or from decreasing to increasing

We can see hat

as x increase upto x=0

The value of y decreases

x-value: -6 , -4 , -2 , 0

y-value: 8 , 2, 0 , -2

But f(x) changes from -2 to -1 ..

so, it is increasing

so, function changes at x=0

that's why turning point is

(0,-2).............Answer