Drag each tile to the correct box. Consider the given functions f, g, and h. h(x)=x²+x-6

Place the tiles in order from least to greatest according to the average rate of change of the functions over the interval [0,3]

Step-by-step explanation:

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

So, in your case, we want to 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):

h(3)=3^2+3-6=9+3-6=6,

And so the average rate of change is