Question

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

Answer 1

Answer:

$y=6^x$ and $y=(-6)^x$

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

$y=a^x$

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.

$36=a^2$

Now taking square roots on each sides we get

$6=a$ and $-6=a$

Hence our exponential functions are

$y=6^x$ and $y=(-6)^x$

Answer 2

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