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12. Which of the following is a function?(A)(B)(C)(D) {(-5,9), (-2,-5),(1,-5),(5,-2)} (E){(-5,9),(-2,-5),(1,-5).(-5,-2)}

12. Which of the following is a function?(A)(B)(C)(D) {(-5,9), (-2,-5),(1,-5),(5,-2)} (E-example-1
User Ebru
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1 Answer

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Step-by-step explanation:

A relation is a function if and only if there is one value of x for different values of y.

This means that if we see repeated x-values then it's not a function. We can see this clearly in the graphs by drawing a vertical line for the values of x. Of the line crosses the graph more than once, then it's not a function.

In every graph the line crosses the graph more than once, so none of these options are functions.

Then, for a set of points we have to check the x-coordinate of each pair. If one repeats in the set, then it's not a function.

In the relation E x = -5 is repeated, so it's not a function. On the other hand, for relation D none of the x-coordinates are repeated. Therefore relation D IS a function

Answer:

Option D is a function

12. Which of the following is a function?(A)(B)(C)(D) {(-5,9), (-2,-5),(1,-5),(5,-2)} (E-example-1
12. Which of the following is a function?(A)(B)(C)(D) {(-5,9), (-2,-5),(1,-5),(5,-2)} (E-example-2
User Heymatthew
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