Algebra Examples

$y = {(\frac{1}{2})}^{x}$

Step 1

Simplify ${(\frac{1}{2})}^{x}$ .

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Step 1.1

Apply the product rule to $\frac{1}{2}$ .

$y = \frac{1^{x}}{2^{x}}$

Step 1.2

One to any power is one.

$y = \frac{1}{2^{x}}$

Step 2

Graph the equation in order to determine the intervals over which it is increasing or decreasing.

Always Decreasing

Step 3