Which exponential function goes through the points (1, 32) and (4, 2048)? a. f(x) = 4(4)x b. f(x) = 8(2)-x c. f(x) = 8(4)x d. f(x) = 4(4)-x

C. f(x) = 8 (4)^x,

The explanation is shown in the images attached with the answer .

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c