The end behavior of the function y = -5^x3(x-2)^3 (x-4)^3 (x-1) is described by the behavior of the leading term -5^x as x approaches positive or negative infinity.
The end behavior of a function is summarized by the behavior of the function as x approaches positive or negative infinity. To determine the end behavior of the function y = -5^x3(x-2)^3 (x-4)^3 (x-1), we look at the leading term, which is -5^x. Since the base of -5 is negative, the behavior of the function will depend on whether the exponent x is even or odd.
If x is even, as x approaches positive infinity, -5^x approaches positive infinity. If x is odd, as x approaches positive infinity, -5^x approaches negative infinity.
Therefore, the correct statement describing the end behavior of the given function is: Part A. Begins with a nonzero y-intercept with a downward slope that levels off at zero; Part B. Begins at zero with an upward slope that decreases in magnitude until the curve levels off; Part C. Begins at zero with an upward slope that increases in magnitude until it becomes a positive constant.