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In the following exercises, determine whether each equation is a function.3x-2y=6

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SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the given equation

[tex]3x-2y=6[/tex]

STEP 2: Define how to determine if it is a function

Use the vertical line test to determine whether or not a graph represents a function. If a vertical line is moved across the graph and, at any time, touches the graph at only one point, then the graph is a function. If the vertical line touches the graph at more than one point, then the graph is not a function.

STEP 3: plot the graph and perform a vertical line test

Since the vertical lines touch the graph at only one point and following the description given in step 2. This shows that "The equation is a function"

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