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Let f be the function defined by f(x)= 2xe⁻ˣ for all real numbers x. (a) Write an equation of the horizontal asymptote for the graph of f.

User Latoria
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Answer:

Step-by-step explanation:

y=0

User Flashburn
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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.

User PranshuKhandal
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