SOLUTION: 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 determ

Algebra ->  Rational-functions -> SOLUTION: 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 determ      Log On


   

Question 46559: 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) inverval(s) where the function must have a zero.
x f(x)
-2 16
-1 (unknown)
0 (unknown)
1 (unknown)
2 -4
Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
-1 (unknown)
f(x) = -x^3 + x^2 - x + 2
f(-1) = -(-1)^3 + (-1)^2 - (-1) + 2
f(-1) = 1 + 1 + 1 + 2 = 5
(-1,5)
0 (unknown)
f(x) = -x^3 + x^2 - x + 2
f(0) = -0^3 + 0^2 - 0 + 2 = 2
(0,2)
1 (unknown)
f(x) = -1^3 + 1^2 - 1 + 2
f(x) = -1 + 1 - 1 + 2 = 1
(1,1)
x f(x)
-2 16
-1 5
0 2
1 1
2 -4
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