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

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1 Answer
Jake M. · KillerBunny
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#.

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