How do you find the average rate of change of #f(x)=x^2 + x# over [1,3]? Algebra Graphs of Linear Equations and Functions Slope 1 Answer bp Oct 15, 2015 5 Explanation: #f(1)= 1^2 +1 =2# #f(3)= 3^2 +3=12# Average rate of change= #(f(3)-f(1))/ (3-1) = 10/2= 5# Answer link Related questions What is Slope? How can slope be undefined? How do you calculate slope from a graph? How do you calculate the slope given two points? How does a positive slope differ from a negative slope? How does change in the slope affect the steepness of a line? Why is the slope of a horizontal line is zero? How do you determine the slope of #(3, –5)# and #(–2, 9)#? How do you determine the slope of #(1/3, 3/4)# and #(–2, 6)#? How do you determine the slope of #(2,7)# and #(7,2)#? See all questions in Slope Impact of this question 1073 views around the world You can reuse this answer Creative Commons License