Question

What is the average rate of change from x=1 to x=3?

a. Use the slope formula to calculate the average rate of change.
b. Use the midpoint formula to calculate the average rate of change.
c. Find the difference in y-values and divide by the difference in x-values.
d. Use the quadratic formula to find the average rate of change.

Answer 1

The average rate of change from x=1 to x=3 can be calculated using the formula: average rate of change = (y2 - y1) / (x2 - x1).

Step-by-step explanation:

The average rate of change from x=1 to x=3 can be calculated using the formula: average rate of change = (y2 - y1) / (x2 - x1). In this case, the given points are (1, y1) and (3, y2). Substituting the values into the formula, we get:

average rate of change = (y2 - y1) / (3 - 1)

So, to find the average rate of change, we need to know the y-values of the given points. If you have the equation of a function or a graph of the function, you can substitute the x-values into the equation or graph to find the corresponding y-values, and then plug the values into the formula to calculate the average rate of change.