Problem

$y=\left(\frac{1}{3}\right)^{x}$

Answer

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Answer

\(\boxed{y=\left(\frac{1}{3}\right)^{x}}\) is the final answer.

Steps

Step 1 :The function given is $y=\left(\frac{1}{3}\right)^{x}$, which is an exponential function where the base is a fraction (1/3) and the exponent is x.

Step 2 :The function describes a curve that decreases as x increases.

Step 3 :The function is defined for all real numbers x.

Step 4 :The function approaches 0 as x approaches infinity and approaches infinity as x approaches negative infinity.

Step 5 :\(\boxed{y=\left(\frac{1}{3}\right)^{x}}\) is the final answer.

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