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3-154.

Sketch a graph and find the equation of the line tangent to the curve at . Then, find another point on the curve with the same slope as the tangent. 

equation of tangent at :

equation of tangent at :


To find another point with the same slope, consider the symmetry of the curve.


Since 
so  and


Use the eTool below to explore the graph of the curve.
Click the link at right for the full version of the eTool: Calc 3-154 HW eTool