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Given the graph of below, draw a possible graph of . Why is there more than one possible solution?

Continuous curve, coming from left just above x axis, changing from concave up to concave down at the point (0, comma 0.5), continuing to the right just below y = 1.

Your graph should have a slightly positive, but increasing, slope for .
It should have a slope of when .
The slope should increase for , but not exceed .