Heres
1. use the table and the graph to answer the questions.
(a) what is the rate of change for each function? show your work.
(b) which function has the greater rate of change?
can you me do these things

The rate of change of first function is -2.

The rate of change of second function is 4.

Function 2 has greater rate of change.

Step-by-step explanation:

If a line passes through two points and , then the formula for rate of change is

From the table and graph consider any two points to find the rate of change of each function.

From the table, let as consider two point (-1,3) and (-2,5). The rate of change of first function is

The rate of change of first function is -2.

From the graph, let as consider two point (-1,0) and (0,4). The rate of change of second function is

The rate of change of second function is 4.

Since -2<4, therefore function 2 has greater rate of change.

  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).

hi! i think the answer is 1/2 : )