Long description: workbook16block3fig1

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The graph shows two curves, one solid and one dashed, plotted against the x and y axes, with the x-intercept at x=1.

Alt text: The graph shows two curves, one solid and one dashed, plotted against the x and y axes, with the x-intercept at x=1.

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    • The graph displays a two-dimensional coordinate system with a horizontal x-axis and a vertical y-axis.
    • Two functions are plotted on this graph: a dashed curve and a solid curve.
    • The dashed curve is labeled as \(\left(1-x\right)^{1/2}\).
    • The solid curve is labeled as \(1-\frac{1}{2}x-\frac{1}{8}x^2\).
    • Both curves are decreasing as the value of \(x\) increases from the origin.
    • Both curves intersect the x-axis at the point \((1, 0)\).
    • The graph illustrates the relationship between the binomial expansion and its approximation for \(x\) values between 0 and 1.

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