SOLUTION: Use the point plotting method to graph the equation and identify any intercepts. Verify your results using a graph utility. y=x-x^3 Please give me step by step instruction on how

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Use the point plotting method to graph the equation and identify any intercepts. Verify your results using a graph utility. y=x-x^3 Please give me step by step instruction on how       Log On


   



Question 480900: Use the point plotting method to graph the equation and identify any intercepts. Verify your results using a graph utility. y=x-x^3 Please give me step by step instruction on how to solve this problem.
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Use the point plotting method to graph the equation and identify any intercepts. Verify your results using a graph utility. y=x-x^3 Please give me step by step instruction on how to solve this problem.
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y=x-x^3
factor out x
y=x(1-x^2)=x(1+x)(1-x)=0
x-intercepts or zeros:
x=0
x=-1
x=1
number line:
<.....+...-1....-.....0.....+....1...-....>
see graph below:
+graph%28+300%2C+300%2C+-5%2C+5%2C+-5%2C+5%2C+x-x%5E3%29+