# How do you determine the concavity for #g(x)=-x^2+3x+4#?

##### 1 Answer

Apr 17, 2015

The concavity of a function is the sign of its second derivative.

If, in a set, it is positive, than the concavity is *up*, if negative the concavity is down, if it is zero, there could be an inflection point there.

So:

Since the second derivative is always negative, it has always concavity **dawn**.