Determine the end behavior of f(x)
Equation - f(x)=-4x^3+15x^2-8x-3
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Answer:
The end behavior of the function f(x) = −4x3+15x2−8x−3
is determined by the leading term, which is a negative cubic term. As x→∞
, f(x)→−∞
and as x→−∞
, f(x)→∞
. Therefore, the end behavior of the function is that it approaches negative infinity as x approaches infinity and approaches positive infinity as x approaches negative infinity.