What is the average rate of change of f(x) from x1= −8 to x2= −7 f(x)=√−7x+1

Question

(in the equation -7x+1 is all under the square root)

Answer 1

Let A =[(-8, f(-8)] and B = ([-7, f(-7)].

The average rate of change over the interval from -8 to -7 is really just the slope of the line segment joining points A and B.

f(-8) = √57

f(-7) = √50 = 5√2

m = (5√2 - √57)/ (-7 + 8) = 5√2 - √57

Visit this Desmos graph to see a decimal approximation:

desmos.com/calculator/jjdcrctcdi