Help solve? I am just staring blankly at this still:
Determine the upper and lower bounds on the zeros of the given function.
f(x)=3x^3+x^2+5

Question

Help solve?  I am just staring blankly at this still:
Determine the upper and lower bounds on the zeros of the given function.
f(x)=3x^3+x^2+5

anonymous · Answer

It's definitely a tough question.

anonymous · Answer

Is it referring to end behavior?

anonymous · Answer

I would basically find the second derivative and look for inflection points, maybe?

anonymous · Answer

No never mind what I just said.

anonymous · Answer

They want some range where you know there won't be any more roots.

anonymous · Answer

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anonymous · Answer

For example in this case you might think $x_1$ and $x_2$ are the highest and lowest places to get roots...

anonymous · Answer

The reason I mention points of inflection is, because if the derivative is always positive and you're above $0$ then you're not going to get another root.

anonymous · Answer

@ishortlee Can you find the first derivative?

anonymous · Answer

We want to find critical points...

anonymous · Answer

This helps thank you.  I have to take a break but I will get back too it soon.