Question

Find the average rate of change of the function defined by the following table. x y -2 -5 2 35 6 75 10 115

Answer 1

By definition we have that the average rate of change of the function is:

 $AVR = \frac{f(x2) - f(x1)}{x2 - x1}$

 Evaluating the function for the complete interval we have that the AVR is given by:

 $AVR = \frac{115 - (-5)}{10 - (-2)}$

 Rewriting we have:

 $AVR = \frac{115+5}{10+2}$

 Simplifying the expression we have:

 $AVR = \frac{120}{12}$

 $AVR = 10$

 Answer:

 the average rate of change of the function defined by the table is:

 $AVR = 10$

Answer 2

Answer:

Average rate of change is 10 .

Step-by-step explanation:

Y = -5 , 35 , 75 , 115

X = -2 , 2 , 6 , 10

         y2 - y1

m =   ---------------  

          x2 - x1

           -5 - 35          -40

m =   ---------------  =  ----- -  = 10

            -2 - 2            -4

          75 - 115         -40

m =   ---------------  =  ----- -  = 10

            6 - 10            -4