Function properties from a graph
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The graph of a function tells you a lot without any calculation. When it goes up from left to right, the function is increasing. When it goes down, it is decreasing. If the graph never rises above some horizontal line, the function is bounded above. And if it reaches every height y at most once, the function is one-to-one.
What does this generator do?
It draws the graph of a function — a broken line that carries on past its ends (arrows). At the easy level you decide whether the function is increasing, decreasing or constant on a given interval. At the medium level you work out whether it is bounded and find its maximum and minimum. At the hard level you decide whether the function is one-to-one and on which interval it increases.
How to use it
1) Always read the graph from left to right, like text. 2) For increasing and decreasing, look only at the part of the graph above the given interval on the x-axis. 3) For boundedness, look at the arrows: wherever they point, the graph carries on forever. 4) For one-to-one, imagine horizontal lines: none of them may cross the graph twice.