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Numerade Educator

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Problem 9 Easy Difficulty

A function is given by a table of values, a graph, a formula, or a verbal description. Determine whether it is one-to-one.

$ f(x) = 2x - 3 $

Answer

yes $(1$ to 1$)$

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Video Transcript

we're deciding whether or not this function is 1 to 1. And to be 1 to 1 means that every X value has only one. Why value and every y value has only one X value. So we can visualize this one, since we know is just a graph of the line with the Y intercept of negative three and a slope of two. So it looks roughly like this. So for every y value to have only one X value, it must pass the horizontal line test. If you pass a horizontal line through, it will go through no more than one point. So that's a pass. And for every X value to have Onley one y value, it must pass the vertical line test pass a vertical line through and it only goes through one point, not more than one. And that's a pass. So, yes, this one is 1 to 1