Question

determine between which consecutive integers one or more real zeros of f(x)=-x^3+2x^2-x-5 are located

Answer 1

Would it lie between -1 and 2?

Answer 2

Sometimes there is no substitute for a plot.

Answer 3

So the answer is what integers are between -2 and 3?

Answer 4

-2 and -1

Answer 5

The only zero is x = -1.11634.
That point lies between, x=-2 and x=-1 .

Answer 6

Ohhhhh I get it now

Answer 7

because it's not just like "1" or "2" but in between

Answer 8

what if there are more plots??

Answer 9

Yes.
"determine between which consecutive integers one or more real zeros"
an integer is a signed whole number.
-2 and -1 are consecutive integers from left to right.

Answer 10

Thank you for the medal.

Answer 11

I think I understand this now. Thank you for your help!

Answer 12

Your welcome.
By the way, the plot was constructed by the Mathematica computer program.

Answer 13

Okay. Thanks. I like using Desmos too but I'll try that out as well.