Drag each tile to the correct box consider the given functions f,g and h place the tiles in order from least to greatest according to the average rate of change of the functions over the interval 0,3 h(x)=x^2+x-6

Step-by-step explanation:

By definition, the average rate of change of a function f over an interval [a,b] is given by

compute the quantity

for all the three function

Average rate of change of f:

We will simply use the table to check the values for f(3) and f(0):

Average rate of change of g:

We will use the graph to to check the values for g(3) and g(0):

Average rate of change of h:

We can plug the values in the equation to get h(3) and h(0):

And so the average rate of change is

In the problem above, we a point in which the x - axis denotes the number of toll gates he had passed and the y - axis the amount of coin he has in his car. The only reasonable among the choices is the fourth choice indicating that after he had passed four toll gates, he only had 1 dollar in his car.