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Sketch a portion of the graph f(x) = x² sin(x) near (0, 0). Justify your answer.

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The graph of the function f(x) = x²sin(x) near (0, 0) is added as an attachment

Sketching the graph of the function

From the question, we have the following parameters that can be used in our computation:

f(x) = x²sin(x)

The above function is a sinusoidal function that has been transformed as follows

Vertically stretched by a factor of x²

Next, we plot the graph using a graphing tool by taking not of the above transformations rules

The graph of the function is added as an attachment

Sketch a portion of the graph f(x) = x² sin(x) near (0, 0). Justify your answer.-example-1
User Mick DK
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