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Which equation represents an exponential function that passes through the point (2, 36)?

Respuesta :

littlemisscutie1
In order to be an exponential function, the Xvariable has to be in the exponent, that eliminatesthe second and fourth answers         f(X) = 4(3)X using the point (2,36)    f(2) = 4 (3)2           = 4 (9 )           = 36
Cricetus

Answer:

[tex]y=6^x[/tex] and [tex]y=(-6)^x[/tex]

Step-by-step explanation:

Here are given a point (2,36) and find out the exponential function which passes through this point.

In order to do so , we first check the standard form of an exponential form.

The standard form is given as

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

Now if point (2,36) lies on graph of this function , it must satisfies the equation of function . Hence let us substitute x=2 and y = 36 in our standard form.

[tex]36=a^2[/tex]

Now taking square roots on each sides we get

[tex]6=a[/tex] and [tex]-6=a[/tex]

Hence our exponential functions are

[tex]y=6^x[/tex] and [tex]y=(-6)^x[/tex]

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