# How do you sketch the general shape of #f(x)=-x^3-4x^2+3# using end behavior?

##### 1 Answer

Nov 23, 2016

graph{y+x^3+4x^2-3=0 [-20, 20, -10, 10]}

Sum of the coefficients in

So, x+1 is a factor.

The other factors are -(x-a)(x-b), where a and b are

for

As

maximum f = 3 and local ( f'' > 0 ) minimum

The inserted graph gives the shape with all these features