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secondary 3 | A Maths

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i dont to do do and sketch the graph

For the graph of y = -x^2/3, we just reflect that graph along the x-axis.

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If the power of x is 1, the graph is linear (this is in E Maths, but I put this for comparison purposes).

If the power of x is more than 1, the graph starts slow first but then suddenly curves upwards very quickly. This is because as x increases, y increases rapidly (think of y = x2).

Similar logic applies for power of x from 0 to 1. The graph starts moderately fast at first but then slows down. This is because as x increases, y no longer increases by much.

For the last case where the power of x is negative, the graph goes down in the manner I have drawn. This is because as x increases, y decreases, yet the value of y can never be negative. As x increases, t decreases but the rate of decrease slows down (think of y = 1/x from E Maths).

Let me know if you need more explanation on this and I will do my best to explain again.