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

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) (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

RELATED QUESTIONS
PLEASE HELP ME WITH THIS PROBLEM: The table shows several value of the function... (answered by stanbon)

Greetings, Any help with the following would be appreciated. 1. The table... (answered by scianci)

The table shows several value of the function f(x)=-x^3+x^2-x+2. Complete the missing... (answered by stanbon)

The table shows several value of the function f(x)= -x^3+x^2-x+2. Complete the missing... (answered by stanbon)

There are several values of the function f(x)=-x^3+x^2-x+2. Complete the missing... (answered by stanbon)

Complete the table of values then graph the function h(x)=x^3-5x^2+4x Table x |... (answered by Alan3354)

The table shows some values for the function f. x -2 0 2 4 f (x) 7 4 (answered by stanbon)

Complete the table of values then graph the function D(x)=x^2+4x Table: x | h(x) -5 (answered by ikleyn,MathLover1)

Complete the table of value then graph the function D(x)=x^2+4x Table x | h(x) -5 (answered by Fombitz)