Problem 31 of 7
Calculate average rate of change of f(x)=3x^2-x+2 over interval [0,2].
Hints
Using a hint is okay. It just tells the trainer to give you a little more review.
Hidden until you reveal it.
evaluate endpoints and divide differences.
Hidden until you reveal it.
Function must be evaluable at both interval endpoints.
Enter your answer
No answer yet
Correct
Your answer is equivalent to the expected form.
Solution
Walkthrough
Walkthrough shown
Full solution stays hidden until you ask for it.
1. Evaluate the function at the right endpoint.
2. Evaluate the function at the left endpoint.
3. Divide the output difference by the input difference.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Using derivative-like instantaneous rate when average rate is requested.