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Does this graph represent a function? Why or why not?

Does this graph represent a function? Why or why not?-example-1

2 Answers

3 votes
B it is not because it fails the vertical line test
User Stanley Gong
by
6.5k points
3 votes

Answer:

Option B is right

Explanation:

Given is a graph in red line comprising of two straight lines in I quadrant meeting at point (6,5,4)

Domain is the interval [0,6.5] for both the lines and range is [0,6]

If this is a function we must have for any x in the domain there must be only one image y.

But we find that for all points in the domain we have two images.

i.e. vertical line test at any point in the interval [0,6) have two images. For example for x =0, we have y as 0 and 6

i.e. vertical line test for functions fails.

Option B is right

This graph is not a function.

User Simha
by
7.7k points