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Does the graph represent a function? Khan Academy​

Does the graph represent a function? Khan Academy​-example-1
User Jens Hoffmann
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2 Answers

28 votes
28 votes

Answer:

yes

Explanation:

try using a vertical line, if you move the vertical line across the graph and the line touches the graph only at one point, than it means it is a function

User Dnoxs
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2.5k points
17 votes
17 votes

Answer:

This graph represents a function

Explanation:

By its definition, a function is a relation or a correlation between two sets (groups) of values where every input corresponds to only one output. What this means is that every input in a function can only have one output. This characteristic results in a unique property in the graph of a function, that is, the verticle line test. The verticle line test states that when one draws a line through the graph of a function, the line can only intersect the graph in exactly one place in the function. If the line intersects the graph in more than one place, then the graph does not represent a function. In the given situation, any verticle line drawn on the graph only intersects the graph in one place, thus the graph represents a function.

User Flavio Ferrara
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3.0k points