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Which graphs represents functions?

A.graph B and graph d
b.graph A only
c.graph c and graph d
d.graph d only

please help me i need it right now !!!

Which graphs represents functions? A.graph B and graph d b.graph A only c.graph c-example-1
User Pjivers
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1 Answer

16 votes
16 votes

Answer:

Correct answer: A → graphs B and D are functions

Explanation:

A curve in the xy-plane is a function if and only if no vertical line intersects the curve more than once. The Vertical Line Test allows us to know whether or not a graph is actually a function. A function can only take on one output (y-value) for each input (x value).

Attached in this post is the edited version of the image you've uploaded for this question.

In performing the Vertical Line Test for graphs A, B, C, and D, we can easily see that graph A is not a function because the vertical lines cross the curve more than once (per each line drawn). This implies that there are 2 output values for each x value.

Graph B is a function because each vertical line draw only has one point.

Graph C is not a function because the vertical line drawn has two points in it (i.e., the input value has two output values).

Graph D is a function because each vertical lines drawn only crosses the curve once.

Therefore, the correct answer is A: Graphs B and D are functions.

Which graphs represents functions? A.graph B and graph d b.graph A only c.graph c-example-1
User Oberlies
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2.6k points