Is the following relation graphed below a function? Explain? Think about what open and closed circles mean

Given:

The graph of a relation.

To find:

Whether the given relation in the graph is a function or not.

Solution:

First we need to understand the meaning of open circles and closed circles.

Open circle: It is a unfilled circle, it means, that value is not included in the solution set.

Close circle: It is a completely filled circle, it means, that value is included in the solution set.

A relation is a function if their exist a unique y-value (output value) for each x-value (input value).

The graph of a relation is a function, if the graph intersect each vertical line at most once. It is known as vertical line test.

For the vertical lines x=-1 and x=1, the graph has only one close circle and all other vertical line intersect the graph at most once.

Since the graph passes the vertical line test, therefore it represents a function.

25/14 or 1.

step-by-step explanation:

the dots mean that it has infinitely more numbers behind it

27/4x^6 y^8

step-by-step explanation:

4(3x^2y^4)^3 (2x^3y^5)^4

=

108x^6 y^12 /16x^12 y^20

=

108 /16x^6 y^8

=

27 /4x^6 y^8