Question

Find the end behavior of the function:
f(x) = 2^-xsin3x

Answer 1

The end behavior of the function f(x) = 2^-xsin3x is that it approaches 0 as x approaches positive infinity and approaches infinity as x approaches negative infinity.

Explanation:

• The end behavior of a function refers to how the function behaves as the input values approach positive infinity or negative infinity.
• For example, consider the function f(x) = 2^-xsin3x as x approaches positive infinity and negative infinity;

• its behavior is that it begins to oscillate between 1, -1/2, and 0.

• The end behavior of the function f(x) = 2^-xsin3x is that it approaches infinity as x approaches positive infinity.
• The same is true for the function g(x), where the end behavior is to oscillate between 1, -1/2, and 0 with respect to negative infinity.