Select all the correct statements. (For this problem, we assume that an exponential function is of the form ka^x where a > 0)

Question

(A) The following function is exponential: y = 2^x

(B) The following function is exponential: y = x^2

(C) The following function is exponential: y = sqrt(x)

(D) The following function is exponential: y = cube root of x

(E) The following function is exponential: y = 1/x

(F) The following function is exponential: y = 8x - 4



Also, solve these exponential equations:



(A) 3^(2y) = 3^5

(B) 9^(3u + 5) = 3^8

(C) 8^(4x - 1) = 64^(5x)



Also, prove the following statements:



(A) If the graph of an exponential function is reflected in the x-axis, then we obtain the graph of another exponential function

(B) If the graph of an exponential function is reflected in the y-axis, then we obtain the graph of another exponential function

(C) If the graph of an exponential function is translated vertically, then we obtain the graph of another exponential function.

(D) If the graph of an exponential function is translated horizontally, then we obtain the graph of another exponential function