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25 July, 17:19

The function f (x) is represented by this table of values.

x f (x)

-5 28

-3 12

-1 4

0 3

1 4

3 12

5 28

Match the average rates of change of f (x) with the corresponding intervals.

Tiles

-2

5

2

0

Pairs

[0, 5]

[-3, 3]

[-5, 3]

[-3, 5]

+2
Answers (1)
  1. 25 July, 20:06
    0
    The average slope (s) on the interval [a, b] is given by

    s = (f (b) - f (a)) / (b - a)

    When there are a lot of computations to do, it is convenient to let a machine do them. The intervals and slopes are ...

    [0, 5] : 5

    [-3, 3] : 0

    [-5, 3] : - 2

    [-3, 5] : 2
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