Write the equation of the exponential function that goes through the point (2,0.36) and (4,0.1296)
(can you explain how you got y=.6^x
Let us assume that we can write the function as :
f(x) = ax
And notice that we have :
.36 = a2 (1)
And
.1296 = a4 (2)
Divide (2) by (1)
.1296 / .36 = a4 / a2
0.36 = a2 take the positive square root of both sides
0.6 = a
So.....our function is
f(x) = ax = 0.6x