How to find the value k that makes the line piecewise function continuous

The video tutorial explores how to determine the value of K to make a function continuous using both graphical and algebraic approaches. Initially, the graphical method is demonstrated by plotting the function and adjusting K to achieve continuity. The algebraic method is then introduced, emphasizing setting equations equal to each other to find the solution. The tutorial highlights the importance of understanding both methods for a comprehensive grasp of the concept.

Explain the algebraic approach mentioned in the text for ensuring continuity.

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Why does the teacher believe it is important to understand both graphical and algebraic approaches?

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