Over which interval does h have a negative average rate of change?
Answers
The average rate of change is just the slope of a line. If that line is decreasing then the slope is negative . If that line is increasing then the slope is positive . If that line is constant then the slope is 0 .
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Question is : H(x) = x^2 - 1
H(x) = x^2 - 1Over which interval does h have a negative average rate of change?
H(x) = x^2 - 1Over which interval does h have a negative average rate of change?See answers (1)
Answer:
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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