Problem

a. Find an equation for the line that is tangent to the curve y = x3 – x at the point (-...

a. Find an equation for the line that is tangent to the curve y = x3 – x at the point (-1, 0).

b. Graph the curve and tangent line together. The tangent intersects the curve at another point. Use Zoom and Trace to estimate the point’s coordinates.

c. Confirm your estimates of the coordinates of the second intersection point by solving the equations for the curve and tangent simultaneously (Solver key).

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