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Draw the graph of y=x^(3)-x^(2)+x-2 and ...

Draw the graph of `y=x^(3)-x^(2)+x-2` and find the number of real root(s) of the equation `x^(3)-x^(2)+x-2=0`. Also locate the root.

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To solve the problem of drawing the graph of the polynomial function \( y = x^3 - x^2 + x - 2 \) and finding the number of real roots of the equation \( x^3 - x^2 + x - 2 = 0 \), we will follow these steps: ### Step 1: Define the function Let \( f(x) = x^3 - x^2 + x - 2 \). ### Step 2: Find the derivative To determine the behavior of the function, we first find its derivative: \[ ...
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