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| Math Central | Quandaries & Queries |
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Question from Rita, a student: Determine if the given 3 points are on the graph of the equation. Equation: y = (x^3) - [2(sqrt{x})] Points: (0, 0); (1, 1); (1, -1) |
Hi Rita,
Let me try a couple of other points. Are (0,1) and (4,60) on the graph of y = x3 - 2√x?
First consider (0, 1). When x = 0 the right side of the equation is 03 - 2√0 = 0 and the left side is y = 1. The left side is not equal to the right side so (0, 1) is not on the graph.
For (4, 60) the right side is 43 - 2√4 = 64 - 4 = 60 and the right side is y = 60. The left side is equal to the right side so (4, 60) is on the graph.
I hope this helps,
Penny
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