Relate a vertical line test to understanding functions.
a.
each horizontal line drawn through the graph will intersect a function in only one location
c.
each vertical line drawn through the graph will intersect a relation in only one location
b.
each vertical line drawn through the graph will intersect a function in many locations
d.
each vertical line drawn through the graph will intersect a function in only one location

A

Step-by-step explanation:

You can automatically cross out A because it's a vertical line test.

The correct answer is A, because no output value can have the same input value as another.

Option d

Step-by-step explanation:

A function is a mapping or relation from a set A to set B with condition that each element in A has a unique image in B.

Also a function is invertible and hence one to one and onto.

Thus for any point in the curve there will be only one preimage as domain and also for a point in the x axis there will be one image as y.

This can be tested using a vertical line at any point of the domain of the graph.  If every point in the domain has the quality that a vertical line through it cuts the curve only one point means it is a function.

Hence we get

d.

Each vertical line drawn through the graph will intersect a function in only one location

30

step-by-step explanation:

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