Consider the function f ( x ) = 1 − 4 x 2 on the interval [ − 1 , 3 ] . Find the average or mean slope of the function on this interval, i. e. f ( 3 ) − f ( − 1 ) 3 − ( − 1 ) =

The average slope is 8.

Step-by-step explanation:

Let f be defined on the closed interval [a, b]. The average slope of f between a and b is the quotient

                                       average slope =

To find the average slope of the function on the interval [-1, 3] you have to evaluate your function in the interval and then divide by the interval.

So,

The average slope is  

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