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 yintercept 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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