Which function has a greater rate of change over the interval [0,2]
9. Examine the graph of f(x) and the table that contains values of g(x). Which function has a greater rate of change over the interval [0,2]? Explain your answer.

x

-1
0
1
2
g(x)
7
5
7
13

g(x) has a greater average rate of change

Step-by-step explanation:

From the given information, the table is:

x     |    g(x)

-1          7

0           5

1            7

2            13

From this table, we have g(0)=5 and g(2)=13

The average rate of change over [a,b] of g(x) is given by:

This implies that on the [0,2]. the average rate of change is:

Also, we have that: f(0)=-4 and f(2)=-1.

This means that the average rate of change of f(x) on [0,2] is

Hence g(x) has a greater average rate of change on [0,2]

27

step-by-step explanation: