hurrella24681 hurrella24681
  • 18-02-2019
  • Mathematics
contestada

Given the following table, write the equation to represent the exponential function.

x y

-1 -4

0 -2

1 -1

2 -0.5

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 19-02-2019

Answer:

  y = -2·(1/2)^x

Step-by-step explanation:

The ratio of one table entry to the one before is ...

  (-2)/(-4) = 1/2

so this is the growth factor.

The multiplier is the value of y when x=0, which is -2. So, the equation is ...

  y = (multiplier)·(growth factor)^x

  y = -2·(1/2)^x

_____

This can also be written using a negative exponent:

  y = -2·2^(-x)

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