Question

Exponential function f is represented by the table. x 0 1 2 3 4 f(x) 868 292 148 112 103 Function g is an exponential function passing through the points (0,800) and (4,0). Which statement correctly compares the two functions? A. Both functions are decreasing on [0, 4], but function g decreases at a faster rate. B. Only function g is decreasing on [0, 4], and only function f is positive on that interval. C. Both functions are decreasing on [0, 4], but function f decreases at a faster rate. D. Only function f is decreasing on [0, 4], and both functions are positive on that interval.

Answer 1

Answer:

A. Both functions are decreasing on [0, 4], but function g decreases at a faster rate.

Table representing the exponential function f

x                               f(x)

0                              828

1                               292

2                               148

3                               112

4                               103

Step-by-step explanation:

Answer 2

Answer:

The correct option is;

A. Both functions are decreasing on [0, 4], but function g decreases at a faster rate

Step-by-step explanation:

The given data are;

Table representing the exponential function f

x         ${}$                      f(x)

0          ${}$                    828

1          ${}$                     292

2         ${}$                      148

3          ${}$                     112

4          ${}$                     103

The points through which the exponential function g passes = (0, 800) and (4, 0)

Therefore, we have that both functions are decreasing on [0, 4]

The change in the values of f(x) on [0, 4] = 828 - 103 = 725

The change in the values of 8(x) on [0, 4] = 800 - 0 = 800

Therefore, g(x) decreases faster than f(x) on [0, 4] than f(x)