Final answer:
The average rate of change of f on the interval [20, 70] is found by taking the difference of function values at these points and dividing by the interval's width. This computes the slope of the secant line over the specified range. Specific function values are needed for a numerical result.
Step-by-step explanation:
To find the average rate of change of a function f(x) on the interval [20, 70], you'll need the function's values at x=20 and x=70.Direct Answer:The average rate of change of f on the interval [20, 70] is \( \frac{f(70) - f(20)}{70 - 20}ExplanationTo calculate the average rate of change, subtract the value of function f at x=20 from its value at x=70, then divide by the width of the interval, which is 50. Assume 'a' is f(20) and 'b' is f(70), the formula becomes \( \frac{b - a}{50} \).
This represents the slope of the secant line between points (20, f(20)) and (70, f(70)) on the graph of f(x), essentially how much f(x) changes per unit interval on average over the given interval. Without the specific function values, we cannot provide a numerical resultThe average rate of change of a function on an interval is calculated by finding the difference in the y-values of the function at the endpoints of the interval and dividing it by the difference in the x-values of the interval. In this case, the interval is [20, 70].First, find the value of f(20) and f(70).Then, subtract the value of f(20) from f(70) to find the difference in the y-values.Finally, divide the difference in the y-values by 70 - 20 to find the average rate of change.