Algebra 2

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Describe the end behavior of the graph of the polynomial function. Then evaluate the function for x=-4, -3, -2, -1, 0, 1, 2, 3, 4. Then graph the function.y=x^4-2x^2-x-1 and y=(x-3)(x+1)(x+2)

  • Algebra 2 -

    Did you try just following the instructions?
    They seem pretty straightforward.

    For the end results, try ± large values
    e.g. let x=1000 and x = -1000
    wouldn't both x^4 become huge for both values, so what happens to the y value at those far-out values of x ?

    notice that the second function starts with y = x^3 ...
    when x = 1000 , y = +1000000000
    when x = -1000 , y = (-1000)^3 = -1000000000
    what does that tell you about the position of y for huge negative values of x ?

  • Algebra 2 -

    p(x)=x^3+6x^2+5x-12 Describe the end behavior of the function

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