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The table of values represents a polynomial function ​f(x).

 

                  f(x)

4                    358

5                    690

6                    1178

7                    1852

8                    2742

9                    3878

 

How much greater is the average rate of change over the interval [7, 9] than the interval ​ [4, 6] ?

 Mar 6, 2018

Best Answer 

 #1
avatar+8963 
+3

avg rate of change over interval [7, 9]

=   slope between  ( 7, f(7) )  and  ( 9, f(9) )

=   slope between  ( 7, 1852 )  and  ( 9, 3878 )

=   \(\frac{3878-1852}{9-7}\)

=   \(\frac{2026}2\)

=   1013

 

avg rate of change over interval [4, 6]

=   slope between  ( 4, f(4) )  and  ( 6, f(6) )

=   slope between  ( 4, 358 )  and  ( 6, 1178 )

=   \(\frac{1178-358}{6-4}\)

=   \(\frac{820}2\)

=    410

 

How much greater is  1013  than  410   ?

 

1013 - 410  =  603

 

1013  is  603  greater than  410 .

 Mar 6, 2018
 #1
avatar+8963 
+3
Best Answer

avg rate of change over interval [7, 9]

=   slope between  ( 7, f(7) )  and  ( 9, f(9) )

=   slope between  ( 7, 1852 )  and  ( 9, 3878 )

=   \(\frac{3878-1852}{9-7}\)

=   \(\frac{2026}2\)

=   1013

 

avg rate of change over interval [4, 6]

=   slope between  ( 4, f(4) )  and  ( 6, f(6) )

=   slope between  ( 4, 358 )  and  ( 6, 1178 )

=   \(\frac{1178-358}{6-4}\)

=   \(\frac{820}2\)

=    410

 

How much greater is  1013  than  410   ?

 

1013 - 410  =  603

 

1013  is  603  greater than  410 .

hectictar Mar 6, 2018

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