Given the following table, find the rate of change between f(-4) and f(0).
1 answer:
Answer: The correct option is (B)
Step-by-step explanation: We are given to find the rate of change between f(-4) and f(0) from the following table:
x -4 -2 0 2 4
f(x) -2 -1 0 1 2
The average rate of change of a function f(x) from x = a to x = b is given by
From the given table, we have
f(-4) = - 2 and f(0) = 0.
Therefore, the average rate of change between f(-4) and f(0) is given by
Thus, the required rate of change is
Option (B) is correct.
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Answer: 17/18
In words, this is seventeen eighteenths
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Work Shown:
4/9 + 9/18
8/18 + 9/18 ... see note below
(8+9)/18
17/18
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note: To go from 4/9 to 8/18, we multiply top and bottom by 2. So that's why 4/9 = 8/18.
The diagram below shows a visual representation of why 4/9 = 8/18.
In the top row, I've drawn out 9 rectangles of the same size. Then I've shaded 4 of the 9 rectangles to represent the fraction 4/9. In the bottom row, I've cut each of those 9 rectangles into two smaller equal pieces, so we have 9*2 = 18 rectangles now. Note how the shaded regions are the same size, so this shows 4 green regions doubles to 2*4 = 8 yellow regions; therefore 4/9 is the same as 8/18.
