Posted by **Riley** on Saturday, August 28, 2010 at 1:42pm.

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 -
**MathMate**, Saturday, August 28, 2010 at 2:34pm
(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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