Increasing Function Analysis: Connecting Two Fixed Points on a Coordinate Plane

Is it possible to create an increasing function with the two given points?

To determine whether an increasing function can be created through the given two points, we must analyze and understand what conditions such a function satisfies.

An increasing function means that as $x$ increases, $y$, the function’s value, also increases. In simple terms, if we have two points, $(x_1, y_1)$ and $(x_2, y_2)$, then for the function to be increasing, it must be that $x_1 < x_2$ and $y_1 < y_2$.

Starting from this understanding, observe the provided points. Assuming coordinates are $(x_1, y_1)$ and $(x_2, y_2)$ with specifics determined visually or contextually:

• Verify that both points have distinct $x$-coordinates such that $x_1 < x_2$.
• Check and confirm whether their respective $y$-coordinates are such that $y_1 < y_2$.

Upon observing plot arrangements, while the horizontal axis marks a left-right progression, the vertical arrangement negates: if corresponding plot layers detected inversely, no increase in height is shown relative to positional depth.

Therefore, observe if $x_1 < x_2$ but $y_1 > y_2$, causing the conclusion that such positional arrangement doesn't naturally derive an increasing function.

Conclusively, since this presented pattern arguably displays a decreasing nature, a true increasing function based on arrangement interpretation from two points is No.