Determine which consecutive integers do not have a real zero of f(x) = x^3 + 5x^2 - x - 6 between them.
a. (-6, -5)
b. (-5, -4)
c. (-2, -1)
d. (1, 2)

Question

Determine which consecutive integers do not have a real zero of f(x) = x^3 + 5x^2 - x - 6 between them.
a. (-6, -5)
b. (-5, -4)
c. (-2, -1)
d. (1, 2)

debbieg · Answer

Are you allowed/supposed to use a graph of the function? https://www.desmos.com/calculator/u0jsjlrdlb I'm thinking that the question is getting at making sure you understand the connection between the "real zeros" of a function, and its x-intercepts?

anonymous · Answer

It doesn't say we can't use a graph so I think I can

debbieg · Answer

Ok then, that's certainly the easy way. :) each real zero corresponds to an x-intercept. So you see the graph there, do you understand how to find the right answer now?