Which of the following tables could possibly represent the graph?
х
y
-2
-4
A)
B)
х
-2
-1
-1
-1
WOWOK
0
2
1 5
х
Y
1
3
.X
0
1
2
3
4
C)
2
1
D)
3
3
10
g(x)
17 | 24 | 31
38
4
-3

D.)

Step-by-step explanation:

The graph is decreasing from left to right therefore as the x values increases the y values are decreasing. You can also say that the graph has a negative slope.

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).

.632

step-by-step explanation:

6 * 1/10 = 3/5

3*0.01 = 0.03

3/5 + 0.03 = .63

2*0.002 = .002

.63 + 0.002 = .632