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Look at the following graph of the given equation. Points marked on graph: (1,0), (0,2), (1,4), (2,6). Determine whether the equation is a function. Explain why or why not. y = 2x + 2

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The equation y = 2x + 2 is a function. This can be determined by observing that for each x-value, there is exactly one corresponding y-value. In other words, the graph of the equation passes the vertical line test, which states that a graph represents a function if no vertical line intersects the graph more than once.

Additionally, as the given points (1,0), (0,2), (1,4), (2,6) all fall on the same line, all with a slope of 2 and y-intercept of 2, so this confirms that the equation is indeed a function.

User Nick VanderPyle
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