Question

Where are the inflection points of this graph?

**attached inside:)

Answer 1

Inflection points are points on the graph where it goes from being concave to convex or the other way around. Another way of looking at it is that the second derivative changes sign at an inflection point.

Answer 2

ohh so would it be at x=-2 and x=0 ?

Answer 3

Uh, no. More like -1/2 and -1 1/2

Answer 4

Think of riding on a rollercoaster. When you go down and then start heading up, the track is still sort of a big U shape, but eventually in order to go down, you have to go from being U shaped to upside down U shaped, and that point is the inflection point.

Answer 5

ohh okay:)

Answer 6

Don't be confused that the inflection point here is where the curve crosses the x-axis — that's just how I happened to draw it, and the two are not necessarily related!