# Thread: Inflection points and Graph

1. ## Inflection points and Graph

Describe the behavior of the following graph, at each of the five points labeled on the curve, by selecting all of the terms that apply from the lists below.

Point A:
I know

f(x) is increasingthe slope of f(x) is decreasingf(x) is concave downwards

For the rest of the points I am lost
Our choices are:
f(x) is increasing
f(x) is decreasing the slope of f(x) is increasing the slope of f(x) is decreasing f(x) has a relative minimum f(x) has a relative maximum f(x) has an inflection point f(x) is concave upwards f(x) is concave downwards
We are supposed to lable what goes with the other points.
Point B
PointC
Point D
Point E

2. I think B and D have increasing slopes and E looks like a relative max.

3. Originally Posted by Babs0201
I think B and D have increasing slopes and E looks like a relative max.
A has an increasing slope

B is an inflection point, and has negative slope because it is on a part of the curve going from top left to bottom right

C has negative slope

D is an inflection point

E is a relative max