Given #f(x)= x^2 +5x +1# what is the average rate of change of f(x) with respect to x as x changes from -1 to 1? Calculus Derivatives Average Rate of Change Over an Interval 1 Answer Jim H Feb 6, 2017 #5#. Explanation: #(f(1)-f(-1))/(1-(-1)) = (7-(-3))/2 = 5# Answer link Related questions How do you find the average rate of change of a function from graph? How do you find the average rate of change of a function between two points? How do you find the average rate of change of #f(x) = sec(x)# from #x=0# to #x=pi/4#? How do you find the average rate of change of #f(x) = tan(x)# from #x=0# to #x=pi/4#? How do you find the rate of change of y with respect to x? How do you find the average rate of change of #y=x^3+1# from #x=1# to #x=3#? What is the relationship between the Average rate of change of a fuction and derivatives? What is the difference between Average rate of change and instantaneous rate of change? What does the Average rate of change of a linear function represent? What is the relationship between the Average rate of change of a function and a secant line? See all questions in Average Rate of Change Over an Interval Impact of this question 5199 views around the world You can reuse this answer Creative Commons License