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Find the average rate of change of k(x)=x−16k(x) = x - 16 between x=−4x = -4 and x=−4+hx = -4 + h, where h≠0h \neq 0.\newlineSimplify your answer. Your answer may be a number or an expression in terms of hh.

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Q. Find the average rate of change of k(x)=x−16k(x) = x - 16 between x=−4x = -4 and x=−4+hx = -4 + h, where h≠0h \neq 0.\newlineSimplify your answer. Your answer may be a number or an expression in terms of hh.
  1. Calculate Function Values: To find the average rate of change of k(x)k(x) from x=−4x = -4 to x=−4+hx = -4 + h, we need to calculate the difference in the function values divided by the difference in xx values.
  2. Calculate Difference: Now, calculate the difference in function values: k(−4+h)−k(−4)=(−20+h)−(−20)=hk(-4 + h) - k(-4) = (-20 + h) - (-20) = h
  3. Calculate Difference: The difference in x values is: (−4+h)−(−4)=h(-4 + h) - (-4) = h
  4. Calculate Average Rate: The average rate of change is the difference in function values divided by the difference in xx values:\newlineAverage rate of change = hh=1\frac{h}{h} = 1

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