Answer:
a) 3
b) b + a
c) 2x + h
Step-by-step explanation:
Since, The average rate of change of a function f(x)f from x=a to x=b is the slope of the line which passes through (a,f(a) and (b,f(b)), we can write the formula for Average Rate of Change as:
Part a)
The average rate of change of f(x) from x = −1 to x = 4. Using these values in above formula, we get:
Thus, the average rate of change of f(x) from x = −1 to x = 4 is 3
Part b)
The average rate of change of f(x) from x=a to x=b. Using the values in the above formula, we get:
Thus, the average rate of change of f(x) from x = a to x = b is b + a
Part c)
The average rate of change of f(x) between the points (x,f(x)) and (x+h,f(x+h)). Using the values in above formula, we get:
Thus, The average rate of change of f(x) between the points (x,f(x)) and (x+h,f(x+h)) is 2x + h.