Algebra II

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Describe the end behavior of the graph of the polynomial function by completing these statements: f(x)→? as x→-∞ and f(x)→? as x→+∞.

1. f(x)=-(x^2)+1
2. f(x)==10x^3

  • Algebra II -

    (1) f(x)=-(x²)+1
    is a parabola concave downwards, with a y-intercept of 1.
    Thus the behaviour toward both infinities are -∞.

    2. f(x)=-10x³ (note correction of typo)
    is a cubic polynomial that starts from +∞ when x->-∞, and finishes off at -∞ as x->∞.

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