20 points! ttm
if there is not enough information to tell, drag the graph into the box under "not enough information."

A relation is (also) a function if every input x is mapped to a unique output y.

In terms of graphical representation, this implies that a graph represents a function if there doesn't exist a vertical line that intersects the graph more than once. So:

The first graph is exactly a vertical line, so it's not a function.

The second graph represents the function y=x, so it's a function: you can see that every possible vertical line crosses the graph only once.

The third graph is not a function, because you can draw vertical lines that cross the graph twice.

Similarly, in the fourth graph you can draw vertical lines that cross the graph twice

The fifth graph is a function, because every vertical line crosses the graph once

The last graph is a function, although discontinuous, for the same reason.

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Step-by-step explanation:

do you have the measurements?

step-by-step explanation:

x^2 -12x + 36 + y^2 = 36

x^2 + y^2 = 12x

r^2 = 12rcos(theta)

r = 12 cos(theta)