Find the average rate of change of f(x)=4x^2-6 on interval [1,a]

9514 1404 393

  4a +4

Step-by-step explanation:

The average rate of change of f(x) on the interval is ...

  (f(a) -f(1))/(a -1)

  = ((4a² -6) -(4(1)² -6))/(a -1) = (4a² -4)/(a -1)

  = 4(a² -1)/(a -1) = 4(a +1) = 4a +4

The average rate of change on the interval is 4a +4.

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3.07*10^-4

move the decimal 4 places to the left

.000307