18. Is the rate of change of f positive or negative on the following intervals? (a) 2.2leqslant xleqslant 4 (b) 5leqslant xleqslant 6

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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 1

(a) The rate of change of \( f \) is negative on the interval \( 2.2 \leqslant x \leqslant 4 \).<br /><br />(b) The rate of change of \( f \) is positive on the interval \( 5 \leqslant x \leqslant 6 \).

Answer 2

To determine whether the rate of change of \( f \) 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).

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18. Is the rate of change of f positive or negative on the following intervals? (a) 2.2leqslant xleqslant 4 (b) 5leqslant xleqslant 6

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