contestada

Write an exponential function in the form y=ab^xy=ab^x
that goes through points (0, 8) and (3, 8000).

Respuesta :

The value of a and b in the function is 8 and 10 respectively and the function is y = 8(10)ˣ

What is an exponential function?

It is defined as the function that rapidly increases and the value of the exponential function is always a positive. It denotes with exponent [tex]\rm y = a^x[/tex]

where a is a constant and a>1

We have a function:

[tex]\rm y=ab^x[/tex]

Plug (0, 8) in the above function:

8 = a

Now plug (3, 8000) in the above function:

8000 = 8(b)³

10 = b

So the function becomes:

y = 8(10)ˣ

Thus, the value of a and b in the function is 8 and 10 respectively and the function is y = 8(10)ˣ

Learn more about the exponential function here:

brainly.com/question/11487261

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