Math: End Behavior Algebraically ?

The function f(x) is defined below. What is the end behavior of f(x)?

f(x) = -140x^4 -3728x+3360-20x^5+580x^3+4x^6+520x^2

Can someone please answer this and provide an explanation? 

1 Answer

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  • 4 weeks ago
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    End behavior is dependent of the term of the highest order

    in this case it's 4x⁶ 

    since 6 is an even exponent both ends will go in the same direction

    and with the leading coefficient being positive

    both left and right end behavior will be to +∞ <–––––

    This can be confirmed by graphing

    https://www.desmos.com/calculator/wfageyz6dg

     

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