SOLUTION: PLEASE HELP ME WITH THIS PROBLEM: The table shows several value of the function f(x)=-x^3+x^2-x+2. Complete the missing values in this table, and then use these values and the int

Algebra ->  Functions -> SOLUTION: PLEASE HELP ME WITH THIS PROBLEM: The table shows several value of the function f(x)=-x^3+x^2-x+2. Complete the missing values in this table, and then use these values and the int      Log On


   

Question 54822: PLEASE HELP ME WITH THIS PROBLEM:
The table shows several value of the function f(x)=-x^3+x^2-x+2. Complete the missing values in this table, and then use these values and the intermediate value theorem to determine (an) interval(s) where the function must have a zero.
HERES THE TABLE:
x -2 -1 0 1 2
f(x) 16 _ _ _ -4
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The table shows several value of the function f(x)=-x^3+x^2-x+2. Complete the missing values in this table, and then use these values and the intermediate value theorem to determine (an) interval(s) where the function must have a zero.
HERES THE TABLE:
x -2 -1 0 1 2
f(x) 16 _ _ _ -4
f(-1)=5
f(0)=2
f(1)=1
Since f(1)is positive
and f(2)is negative
the graph must pass through the x-axis.
There must be a zero between x=1 and x=2
Cheers,
stan H.