Find the domain and range of the exponential function h(x)=125^x.
explain your findings
as x decreases, does h increase or decrease? explain
as x increases, does h increase or decrease? explain

The domain of the function is all real number and the range of the function is (0,∞).

h decreases as x decreases and h increases as x increases.

Step-by-step explanation:

The general form of an exponential function is

The domain of this function is all real number and the range of the function is all positive real numbers if b>1.

The given function is

Here a=1 and b=125, which is greater than 1. So the domain of the function is all real number and the range of the function is all positive real number excluding 0, i.e., (0,∞).

Since b>1, it means it is a growth function and it has positive relation between x and h. It means h decreases as x decreases and h increases as x increases.

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step-by-step explanation:

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