Graph the function f(x)=x^3+3x^2-6x-6 in your calculator. Describe extrema, zeros, intercepts and end behavior. Round to the nearest hundredth, if necessary.

Answer 1

Hi,

Use Desmos Graphing then you will see:

x-int OR zeros x= -4.105 , -0..777, 1.882

y-int : (0,-6)

Max : ( -2.732,12392 )

Min : ( 0.732, -8.392 )

end behavior of function are:

x approaches to the -∞ y approaches -∞ it means ( -∞ , -∞ )

x approaches to the ∞ y approaches ∞ it means ( ∞ , ∞ )

I hope it is useful,

Minoo