Problem 80 of 7
Compare average rates of change for f(x)=3x^2-1 over intervals [-1,0] and [0,1].
Hints
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show rate changes across intervals.
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Intervals must have endpoints in the function domain.
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Correct
Your answer is equivalent to the expected form.
Solution
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1. Compute average rate over each interval.
2. Compare signs and magnitudes.
3. Relate the difference to the quadratic's changing slope.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Comparing only endpoint outputs without dividing by interval length.