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

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joaobezerra joaobezerra · Answer 1 · 2022-04-07T09:15:45+02:00

Considering the given exponential functions, it is found that the correct statement is:

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

For function f, we have that it is decreasing, as it is greater at x = 0 than at x = 4, and it decreases by an average of 3.75 units when the input changes by 1.
For function g, we also have that it is decreasing, as as it is greater at x = 0 than at x = 3, and it decreases by an average of 3 units when the input changes by 1.

Hence option D is correct.

More can be learned about exponential functions at https://brainly.com/question/25537936