If 0 < x < 1, which of the following terms increases as x increases? (i) 1 – x3 (ii) x – 1 (iii) 1/x2

If 0 < x < 1, which of the following terms increases as x increases? (i) 1 – x3 (ii) x – 1 (iii) 1/x2 Correct Answer (ii) only

Concept:

1. The graph for the function 1 - x3 will be as follows:

2. The graph for the function x - 1 will be as follows:

3. The graph for the function 1/x2 is as follows:

.

From the above options, only the graph of "x-1" is increasing in the interval

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