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Describe the end behavior and estimate the x-and y-intercepts for each function. Estimate to the nearest tenth when necessary.
y=-2x^5+x^3

  • Math -

    no estimation needed for y-intercept, let x=0 then y = 0
    for x-intercept, let y = 0
    -2x^5 + x^3 = 0
    x^3(-2x^1 + 1) = 0
    x = 0 or x^2 = 1/2
    so x = ±1/√2

    as x ---> +big, y ---> - big
    as x ---> - big, y ---> +big

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