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andrew11 [14]
3 years ago
8

Examine the following table, which defines the relationship y= f(x). Then, answer the question.

Mathematics
1 answer:
erastova [34]3 years ago
4 0
The slope of the function is most positive either side of x=0 and x=2π.

On the interval [0, π/4], the average slope is \dfrac{(\frac{\sqrt{2}}{2})}{(\frac{\pi}{4})} = \dfrac{2\sqrt{2}}{\pi}

On the interval [7π/4, 9π/4], the average slope is \dfrac{(\frac{\sqrt{2}}{2}-\frac{-\sqrt{2}}{2})}{(\frac{9\pi}{4}-\frac{7\pi}{4})}=\dfrac{2\sqrt{2}}{\pi}


The average rate of change is highest on the intervals [0, π/4] and [7π/4, 9π/4].
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Find the average rate of change of the function over the given intervals. f(x) = 12x3 + 12; [5,7]
AlladinOne [14]
<span>average rate of change = (f(7) - f(5)) / (x7 - x5)
</span>f(7) = <span>12 (7^3) + 12 = 4128
f(5) = </span>12 (5^3) + 12 = 1512

so
average rate of change = (4128 - 1512)/(7-5)
average rate of change = 2616 / 2
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hope it helps
7 0
3 years ago
(x - 4/6) = (x + 2/12) what is x please show your work.
Alex17521 [72]
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0=10/12
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but since 0 does not equal 5/6, this will be no solution
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