Due ! 25 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

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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d

step-by-step explanation:

b) k’(6, 4); l’(3, 3)

step-by-step explanation:

a 270° clockwise rotation maps every point (x, y) to (y, -x). (it negates the x-coordinate and then switches it and the y-coordinate.)

this means the endpoints of the side congruent to kl, k' and l', would be mapped as:

k'(-4, 6)→(6, 4)

l'(-3, 3)→(3, 3)