Question

PLEASE HELP!! DUE TODAY!! ! 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

Answer 1

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)