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allsm [11]
3 years ago
13

H(x) = x^2 - 1 Over which interval does h have a negative average rate of change?

Mathematics
1 answer:
vredina [299]3 years ago
6 0

The Curve has negative rate of change for negative values of x

I.e in the interval - infinity to 0

Step-by-step explanation:

Step 1:

The change in the rate for the given function is obtained calculating the first derivative.

So dy/dx = dH(x)/dx = 2*x

Step 2:

This rate of change will be negative when the dy/ dx is less than 0

So dy/dx = 2x < 0 => x< 0

So for values of x less than 0 the function has negative values for the rate of change.

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2 years ago
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3 years ago
What are the solutions to the following system?
bija089 [108]

The solutions are (\sqrt{2},-1) \text { and }(-\sqrt{2},-1).

Solution:

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Equate (1) and (2).

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Add 3 x^{2} on both sides.

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