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Find the domain of this function: Also find the average rate of change on the interval [1, 6].

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User Leonida
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Final answer:

The exact domain of the function cannot be determined without more information, but it often includes all real numbers within a specified range for a uniform distribution.

Step-by-step explanation:

The domain of a function refers to all the possible input values (x-values) for which the function is defined. In the given context, there isn't enough information to determine the domain directly, but if we refer to a uniform distribution as mentioned in the reference material, the domain can often be all real numbers within a specified range. However, without the specific function provided, the exact domain cannot be ascertained here.

To find the average rate of change of a function on the interval [1, 6], you would typically subtract the value of the function at the beginning of the interval from its value at the end of the interval and then divide by the length of the interval. The formula for the average rate of change is (f(b) - f(a)) / (b - a), where a and b are the endpoints of the interval. In this case, using Figure A1, if the function graphed is a line with a slope of 3, the average rate of change over any interval is equal to the slope. Thus, the average rate of change of this function from x=1 to x=6 would be 3.

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User Abhigna Nagaraja
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