Final answer:
The equation of the horizontal asymptote for the graph of f(x) = 2xeˣ is y = 0.
Step-by-step explanation:
The function f(x) is given by f(x) = 2xeˣ. To find the equation of the horizontal asymptote, we need to determine the behavior of the function as x approaches positive or negative infinity. As x approaches positive infinity, the exponential term eˣ becomes very large, causing the function to approach infinity. As x approaches negative infinity, the exponential term eˣ becomes very small, approaching zero. Therefore, the horizontal asymptote for the graph of f(x) is y = 0.