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

Respuesta :

facundo3141592

We have an exponential growth. The domain is the set of all real numbers and the range is R: (0, ∞).

What can we say about the exponential function?

Here we have the exponential function:

[tex]h(x) = 125^x[/tex]

Notice that the base, 125, is larger than 1, which means that we have an exponential growth.

  • So, as x increases, also does h(x).
  • As x decreases, also does h(x).

Now, the domain of any exponential equation is the set of all real numbers.

For the range, as x tends to negative infinity, the function will tend to zero.

And as x tends to infinity, h(x) also tends to infinity.

So the range is R: (0, ∞).

If you want to learn more about exponential equations:

https://brainly.com/question/11832081

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