Can someone help me solve this massive problem please? Thanks!

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1 Answer
May 25, 2018

This isn't too long of a problem, if we break it down!

The formula, when distributed is y = x^3 + 2x^2.

Part a wants us to just think about the highest order term, which we can easily see is x^3. Since for large values of x, x^3 > 2x^2, this is our end behavior: y = x^3

Part b wants us to find where y = 0. Using the factored version of the equation, this is very easy to see: y = x^2(x+2) = 0 when x = 0 or x+2 = 0 implies x = -2. Therefore the two x-intercepts are -2, 0, where it crosses once at -2 but bounces back at x = 0.

Part c wants us to find where x = 0. As noted above, that's at y = 0.