MATH SOLVE

4 months ago

Q:
# How many points need to be removed from this graph so that it will be a function?

Accepted Solution

A:

Answer:The correct option is 3. Step-by-step explanation:From the given graph it is noticed that the coordinates of all the points are (-3,2), (-3,3), (1,4), (1,-4), (2,-2), (2,-4).So, the graph represents a relation,R = {(-3,2), (-3,3), (1,4), (1,-4), (2,-2), (2,-4)}A relation is called a function if an only if for each value of x there exist a unique value of y.In the given relation, for each value of x we have two values of y. So it is not a function. We need to remove any of ordered pairs that have same input values.From (-3,2) and (-3,3), we need to remove one point.From (1,4) and (1,-4), we need to remove one point.From (2,-2) and (2,-4), we need to remove one point.It means total we need to remove 3 points from this graph so that it will be a function.Therefore the correct option is 3.