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Find the average rate of change of f(x)=−xf(x) = -x between x=6x = 6 and x=6+hx = 6 + 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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Average rate of change Iright chevron icon

Full solution

Q. Find the average rate of change of f(x)=−xf(x) = -x between x=6x = 6 and x=6+hx = 6 + h, where h≠0h \neq 0.\newlineSimplify your answer. Your answer may be a number or an expression in terms of hh.
  1. Calculate Average Rate of Change: Calculate the average rate of change of the function f(x)=−xf(x) = -x between x=6x = 6 and x=6+hx = 6 + h.
  2. Substitute Values into Function: Substitute the values of x1 x_1 and x2 x_2 into the function f(x) = -x.
  3. Substitute into Formula: Substitute these function values into the average rate of change formula.
  4. Simplify Expression: Simplify the expression.

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