Solving Radical Equations Graphically
Given the function $\displaystyle {f{{\left({x}\right)}}}=\sqrt{{{6}+{2}{x}}}$ find x when $\displaystyle {f{{\left({x}\right)}}}={8}$ using your graphing calculator. Then follow the steps below to show the intersection graph on the computer. [Hint: Use the following window on your graphing calculator: Xmin = -5, Xmax = 31, Ymin = -10, Ymax = 10] Write the point of intersection as an ordered pair below. Round the value of $\displaystyle {x}$ to two decimal places as needed. If the point of intersection does not exist, enter $\displaystyle {D}{N}{E}$ Use the Line Tool to draw the Horizontal Line $\displaystyle {y}={8}$. Use the Square Root Tool to draw $\displaystyle {f{{\left({x}\right)}}}=\sqrt{{{6}+{2}{x}}}$. To draw this function, first plot the point furthest to the left, followed by one more point. Use the Point Tool to identify the point of intersection if it exists.
$\displaystyle \sqrt{{{6}+{2}{x}}}={8}$ Point of Intersection: Clear All Draw:

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