contestada

Write an exponential function in the form y=ab^xy=ab x that goes through points (0, 8)(0,8) and (4, 648)(4,648).

Respuesta :

Answer:

y=8(3)^x

y=8(3)  

x

Step-by-step explanation:

The exponential function in form of y=abˣ is y=8(3)ˣ because value of a and b are 8, and 3 respectively.

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:

y=abˣ

(0, 8) and (4, 648)

Plug x = 0 and y = 8

8 = a

Plug x = 4 and y = 648

648 = 8(b)⁴

b = 3

The exponential function become:

y=8(3)ˣ

Thus, the exponential function in form of y=abˣ is y=8(3)ˣ because value of a and b are 8, and 3 respectively.

Learn more about the exponential function here:

brainly.com/question/11487261

#SPJ2