What is the maximum number of turns for the graph of:
f(x)= -4x^4-3x^3+5x-27?
It is 3, correct? Because if f(x)=x+1, it is linear.
x^2 would have one curve near the vertex. Assuming this holds true, there would be one less curve than the leading coefficient, right?

Question

What is the maximum number of turns for the graph of:
f(x)= -4x^4-3x^3+5x-27?
It is 3, correct?  Because if f(x)=x+1, it is linear.
x^2 would have one curve near the vertex.  Assuming this holds true, there would be one less curve than the leading coefficient, right?

anonymous · Answer

3 is correct because of the more simple reason that the degree is 4 and $4-1=3$

anonymous · Answer

@Metalisnotsatanic, you're correct but it's not to do with the coefficient which, in this case, is -4. It's the degree of the polynomial which is 4.

anonymous · Answer

Okay, thanks again.