Mathematics: Is the following graph a function? Explain why or why not.

Is the following graph a function? Explain why or

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Neishab932

13.12.2020

Mathematics

yes it is a function because no x values are used twice

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villatoroo84502

29.04.2023

Mathematics

$\bf (\stackrel{x_1}{3}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{6}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{6-4}{4-3}\implies \cfrac{2}{1}\implies 2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-4=2(x-3) \\\\\\ y-4=2x-6\implies y=2x+1$

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Is the following graph a function? Explain why or why not.

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