PLEASE HELP!! DUE TONIGHT!! ! 25 POINTS!! Given f (x) = x^4 – 5x^3 – 20x^2 + 60x + 144. Explain how to find the x and y-intercept

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PLEASE HELP!! DUE TONIGHT!! ! 25 POINTS!!
Given f (x) = x^4 – 5x^3 – 20x^2 + 60x + 144. Explain how to find the x and y-intercept and end behavior without graphing technology. Also, explain how to find the x & y-intercept and end behavior with graphing technology

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    2021-10-14T22:09:40+00:00

    the end behavior is that it goes positive and both ends  (we look at x^4 ) and put in -inf and + inf and get +inf both times)

    to get the y intercept let x=0  y intercept =144

    to find the x intercepts we factor  and find the zeros

    using graphing technology  we plot the function

    we look at the ends  of the graph if it goes down it goes to – inf, if it goes up it goes to + inf

    the y intercept is where x=0

    there x intercepts are where it crosses the x axis on the plot (there should be 4 unless some are imaginary)

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