Final answer:
The average rate of change can be computed through different methods: using the difference quotient, finding the slope of a secant line, using the tangent line approximation, or applying Newton's method.
Step-by-step explanation:
The average rate of change can be computed through different methods: A) using the difference quotient, B) finding the slope of a secant line, C) using the tangent line approximation, or D) applying Newton's method.
- For method A, compute the change in velocity by subtracting the initial velocity from the final velocity, and then divide by the change in time.
- For method B, choose two points on the graph and find the change in velocity and change in time. Then calculate the slope by dividing the change in velocity by the change in time.
- For method C, determine the instantaneous rate of change by finding the slope of a tangent line at a specific point.
- For method D, apply Newton's method to find a more accurate approximation of the rate of change.