Evaluate the function rule for the given value. f(x) = 3^x for x = –5

f(-5) = 1/ 243

Step-by-step explanation:

f(x) = 3^x

Let x=-5

f(-5) = 3^-5

Since the exponent is negative, it will move to the denominator

f(-5) = 1/3^5

f(-5) = 1/ 243

For this case we have the following function:

We must evaluate the function for

So, we have:

By definition of power properties it is fulfilled that:

Thus:

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step-by-step explanation:

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