• √2 ≈ 1.414
According to Pythagoras theorem the diagonal length of a square with each side measuring one unit would be square root of two.
The assumption that square root of two could be expressed as a ratio of two integers deduces a contradiction.
http://qindex.info/i.php?x=9592
○○○ expect ⪢⪢
Now if a is greater than 0 and b was greater than 1, then we can expect the graph to look something like this. If a is greater than 0 and b is greater than 0 but less than 1, then the graph will look something like this.
http://qindex.info/i.php?x=10539
○○○ look ⪢⪢
Now if a is less than 0 and b was greater than 1, then we can expect the graph to look something like this. And finally, if a is less than 0 and b is greater than 0 but less than 1, then the graph will look something like this.
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http://qindex.info/i.php?x=20598
○○○ about ⪢⪢
Notice how as x increases, the increase in y itself becomes greater and greater. This is one of the key things _____ exponential functions in that the graph increases at an increasing rate.
http://qindex.info/i.php?x=4050