cuddlycatcute cuddlycatcute
  • 24-11-2019
  • Mathematics
contestada

Write the equation in exponential form using the two points (0,1) and (1,3)

Respuesta :

frika
frika frika
  • 28-11-2019

Answer:

[tex]y=3^x[/tex]

Step-by-step explanation:

The equation of the function in exponential form is

[tex]y=a\cdot b^x[/tex]

The function is determined using points (0,1) and (1,3), so their coordinates satisfy the eduation. Substitute them:

[tex]1=a\cdot b^0\Rightarrow a=1\ \ [b^0=1]\\ \\3=a\cdot b^1\Rightarrow 1\cdot b=3,\ b=3[/tex]

Thus, the equation of the function is

[tex]y=3^x[/tex]

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