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I need to draw a graph finding the x and y intercepts

I need to draw a graph finding the x and y intercepts using analytical methods and a graphing utility in a

complementary way. I’m being asked to make a complete graph of the function with the hint that two graphing windows may be necessary. Can you please assist with the breakdown

?

f(x)=3x^4-41x^3+58x^2

 
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