siennxieYupgus21
siennxieYupgus21 siennxieYupgus21
  • 22-09-2020
  • Mathematics
contestada

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

x y
(0,2)
(1,4)
(2,8)
(3,16)

Respuesta :

jimrgrant1 jimrgrant1
  • 22-09-2020

Answer:

y = 2[tex](2)^{x}[/tex]

Step-by-step explanation:

For the exponential function in the form

y = a[tex](b)^{x}[/tex]

Use the ordered pairs from the table to find a and b

Using (0, 2 ) , then

2 = a[tex]b^{0}[/tex] ( [tex]b^{0}[/tex] = 1 ) , thus

a = 2 , so

y = 2[tex]b^{x}[/tex]

Using (1, 4 ) , then

4 = 2b ( divide both sides by 2 ) , then

b = 2

Thus exponential function is

y = 2[tex](2)^{x}[/tex]

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