How sketch the graph
$y=x^4-x^2$

Question

How sketch the graph 
$y=x^4-x^2$

shane_b · Answer

Pick a range of values for x...say 1 to 10.  Plug in each value into the equation and solve for y.  Then plot all of those points on a graph (with the x axis running from 1 to 10).

cwtan · Answer

Any more correct way to sketch it?
and knowing the shape of the graph.
Plotting like that will just wasting time. and I just want to sketch it but not plot in a graph paper.

ganeshie8 · Answer

factor it first. and find out where it crosses x axis

shane_b · Answer

Yes, use a graphing calculator

shane_b · Answer

@ganeshie8: that will only give him the x intercepts....not a sketch of the graph

ganeshie8 · Answer

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ganeshie8 · Answer

we find out end behavior of the graph and connect the points

shane_b · Answer

http://www.wolframalpha.com/input/?i=y%3Dx^4-x^2

ganeshie8 · Answer

since its of degree 4, and leading coefficient is positive, it goes UP, both left side and right side of x-axis

ganeshie8 · Answer

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