How do you determine the end behavior of f(x)=(3x^4-2x+5)/4f(x)=3x4−2x+54?

1 Answer
Jim G.
Nov 25, 2017

xto+-oo,f(x)to+oox→±∞,f(x)→+∞

Explanation:

"f(x)=(3x^4-2x+5)/4=3/4x^4-1/2x+5/4f(x)=3x4−2x+54=34x4−12x+54

"this is a polynomial of degree 4 with positive leading"this is a polynomial of degree 4 with positive leading
"coefficient"coefficient

•color(white)(x)lim_(xto+-oo)f(x)=+oo
graph{(3x^4-2x+5)/4 [-10, 10, -5, 5]}

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