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A-Level

Algebra & Functions

Question

What would the graph of y=kx^n look like is n is positive and odd?

2 years ago

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Carmela Lesch


1 Answer

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The graph would be a polynomial. The graph would extend down the negative y-axis in the third quadrant and up the positive y-axis in the first quadrant. Increasing k has the effect of squeezing the graph horizontally. Increasing n has the effect of making the edges of the graph sharper as it moves along the x-axis from the 3rd quadrant to the 1st. An example below:

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