zaya0628
zaya0628 zaya0628
  • 21-10-2021
  • Mathematics
contestada

Find the equation of the exponential function represented by the table below:

0
2
1
4
2
8
3
16

Find the equation of the exponential function represented by the table below 0 2 1 4 2 8 3 16 class=

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 23-10-2021

9514 1404 393

Answer:

  y = 2·2^x

Step-by-step explanation:

When the exponential function is of the form ...

  y = a(b^x)

The value of 'a' is the value of y when x=0. The table tells us a = 2.

The value of 'b' is the ratio between values of y when their corresponding x-values differ by 1. The table tells us b = (4/2) = 2.

Then the exponential function describing the table is ...

  y = 2(2^x)

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