 ## Question

secondary 3 | A Maths

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##### Chelsia

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i dont to do do and sketch the graph

Date Posted: 2 months ago
Views: 16
Eric Nicholas K
2 months ago
Hi Chelsia! For graph of y = x^2/3, the shape of the graph looks much like the graph of y = ln x except that the graph starts from the origin (0, 0).

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

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Hi Chelsia! Here is the graph. In this topic you must memorise three different cases of graphs (on top of the ones you learn in E Maths) for cases where the coefficient of x is positive. For negative coefficients of x (as the case is, in this question), we reflect the graph along the x-axis.
Date Posted: 2 months ago
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Here are the general shapes of the graphs for positive coefficients of x.

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.
Date Posted: 2 months ago 