## Advanced Indices

Advanced indices questions may take several forms. One of these may require you to compare the magnitude of different expressions. For example:

Ifarrange in order of magnitude

Ifthenincreases with increasingso a bigger value ofmeans a bigger value of

Note thatand(1)

Sincewe have

Ifarrange in order of magnitude

Ifthendecreases with increasingso a bigger value ofmeans a smaller value of

Using (1) and thatand

Sincewe have