Estimate the rate of change of the parabola at the point x = -2.
1 answer:
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[ Answer ]
[ Explanation ]
4(y + 6) - 2(y - 2)
[Expand] 4(y + 6): 4y + 24
4y + 24 - 2(y - 2)
[Expand] -2(y - 2): -2y + 4
4y + 24 - 2y + 4
[Simplify] 4y + 24 - 2y + 4: 2y + 28
= 2y + 28
If the slope of the function is 2, the amount it can change over the interval 0–2 is
... 2×2 = 4 units
If the slope is 7, the amount it can change over the interval 0–2 is
... 2×7 = 14 units
The least possible value of f(2) is 2+4 = 6.
The greatest possible value of f(2) is 2+14 = 16.
