The answer is: 3. _________________ In the table, the relation (x, y) is not a function is the "missing value" of "x" is: 3. _______________________________________ Explanation: We are given that the ordered pair: "(3,10)" exists. In other words, when x = 3, y =10. ______________________________________ The "missing value" refers to the "empty box" in the table shown (in the attached screenshot). The "empty box" shows a "y-coordinate" of "20"; but a "missing" corresponding "x-coordinate". ____________________________________ The problem asks: _________________ In the table, the relation (x, y) is not a function is the "missing value" of "x" is: ____? ___________________ The answer is: 3. _______________________ We know the answer is "3"; because we know that "3" already has 1 (one) corresponding y-coordinate.
By definition, a "function" cannot have ANY "x-coordinates" that have more than one "corresponding y-coordinate". As such: _______________________________________ In the table, the relation (x, y) is not a function is the "missing value" of "x" is: ____________ 3. ____________ Additional information: ____________ When examining an equation on an actual graph, we can use what is called the "vertical line test". That is, one can take a pencil and vertically go through the "y-axis", or even examine it visually, to see if there are any "x-values" that have more than one corresponding "y-coordinate". If no, then it "passes" the "vertical line test" and is a "function". If not, then it does NOT pass the "vertical line test" and is NOT a function. __________________________________________
