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]

Answer Link

Otras preguntas

use the provided equation below to complete the table and graph
3 /17% of a quantity is equal to what fraction of the quantity
hi I know it's not that best but that's all I got
the example shows how to use division to write equivalent ratios that make comparisons to one unit how do you know what numbers to divide by
Im just needing a little bit more help with these type of problems ;/
ALL elements that make up glucose can be rearranged to make carbohydrates, proteins, AND lipids. TrueFalse
How many -digit even numbers are possible the digit cannot be zero?
GRAPH each triangle and CLASSIFY the triangle according to its sides and angles.
In which region in the table below would the most reactive elements be found?
State 3 solutions to the inequality: (1 Point) 3−4>5