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.