Select the correct answer.

Question

Exponential function f is represented by the table.

x 0 1 2 3 4
f(x) 15 7 3 1 0

Function g is an exponential function passing through the points (0,9) and (3,0).

Which statement correctly compares the two functions?

A.
Only function f is decreasing on [0, 3], and both functions are positive on that interval.
B.
Both functions are decreasing on [0, 3], and function f is decreasing at a faster rate.
C.
Both functions are decreasing on [0, 3], and function g is decreasing at a faster rate.
D.
Only function g is decreasing on [0, 3], and only function f is positive on that interval.

Answer 1

B. Both functions are decreasing on [0, 3], and function f is decreasing at a faster rate.