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kirill [66]
3 years ago
11

Estimate the rate of change of the graphed function over the interval -4 <_ x <_ 0

Mathematics
1 answer:
dezoksy [38]3 years ago
4 0

Answer:

  0.2071

Step-by-step explanation:

It looks like the graph is of the function ...

  y = √(x +8) -2

We know that (-4, 0) is one point on the graph. The other point of interest is at x=0, where y = √8 -2 ≈ 0.8284.

The average rate of change on the interval is then ...

  m = (0.8284 -0)/(0 -(-4)) = 0.2071

The average rate of change on the interval is about 0.2071.

_____

<em>Rougher estimate</em>

The graph goes through the points (-4, 0) and (1, 1), so has a slope of 1/5 = 0.2 on the interval [-4, 1]. We know the graph does not go through (0, 1), so the slope is not as high as 1/4 = 0.25. The curve is concave downward, so the average slope will be higher than 0.2, but we aren't sure how much higher.

A reasonable estimate of the rate of change on the interval is "a little more than 0.2, but less than 0.25."

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Answer:

The price is now $44

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Answer:

StartFraction 7 over 2 EndFraction can be used to find the unit rate if one divides 7 by 2 and compares the result to 1

Step-by-step explanation:

we know that

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we have the points

B(2, 7) and D(4, 14)

substitute the values

The unit rate is

therefore

StartFraction 7 over 2 EndFraction can be used to find the unit rate if one divides 7 by 2 and compares the result to 1

Step-by-step explanation:

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Maybe b or c I guess??
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This is in the form y=mx+b . m is the slope and b is the y-intercept. In this case, the slope is 3 and the y-intercept is −1 .

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Are you sure you've copied down the original problem exactly as given?  i38 = 38i can't be simplified.  Perhaps you meant i^38, which is a different matter.

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