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.
**
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( 300, 300, -5, 5, -5, 5, x-x^3) }}}