SOLUTION: Graph: f(x)=(-x)^4+4x^2-2x by making a table of values. Then estimate the x-coordinates at which the relataive maxima and relative minima occur.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Graph: f(x)=(-x)^4+4x^2-2x by making a table of values. Then estimate the x-coordinates at which the relataive maxima and relative minima occur.       Log On


   

Question 43490: Graph: f(x)=(-x)^4+4x^2-2x by making a table of values. Then estimate the x-coordinates at which the relataive maxima and relative minima occur.
Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29=%28-x%29%5E4+%2B+4x%5E2+-+2x
f(-3) = 115
f(-2) = 30
f(-1) = 3
f(0) = 0
f(1) = 3
f(2) = 30
f(-3) = 115
+graph%28+600%2C+1200%2C+-10%2C+10%2C+-2%2C+38%2C+%28-x%29%5E4+%2B+4x%5E2+-+2x+%29+
Estimate:
Relative Minima: x = 0.125 or 1/8
Relative Maxima: None
Proof: {x --> +infinity][y --> +infinity}
Proof: {x --> -infinity][y --> +infinity}