Question

Which represents a function?

Answer 1

Answer:

$\boxed{ \text{Option \: D}}$

Step-by-step explanation:

All the relations are not functions. We can determine ( identify ) whether a relation is function or not by drawing a vertical line intersecting the graph of the relation. This is called vertical line test.

• If the vertical line intersects the graph of a relation at one point , the relation is a function .
• If it cuts at more than one point , it is not a function. It means that if there are more points of the graph of a relation of a vertical line , same first component ( pre - image ) has more images ( second component ) which is not the function by definition.

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Let's check all of the options :

☐ Option A :

• The vertical line cuts the graph at two points. So , the graph does not represent a function.

☐ Option B

• No! This is also not a function as the vertical line cuts the graph at two points.

☐ Option C

• Nah! This too can't be called a function as the vertical line cuts the graph at two points.

☑ Option D

• Yep! The vertical line cuts the graph at one point. Thus , the graph represents a function.

Yayy!! We found our answer. It's ' Option D '.

Hope I helped ! ツ

Have a wonderful day / night ! ♡

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