Question
18. Is the rate of change of f positive or negative on the following intervals? (a) 2.2leqslant xleqslant 4 (b) 5leqslant xleqslant 6
Answer
4
(97 Votes)
Aurora
Master · Tutor for 5 years
Answer
(a) The rate of change of
is negative on the interval
.(b) The rate of change of
is positive on the interval
.
Explanation
To determine whether the rate of change of
is positive or negative on given intervals, we need to evaluate the derivative \( f'(x) \). If \( f'(x) > 0 \), the function is increasing (positive rate of change); if \( f'(x) < 0 \), the function is decreasing (negative rate of change).