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Plot the lines found in Exercise $19$.
Functions and their Applications
Oregon State University
Harvey Mudd College
Idaho State University
In mathematics, a function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output. An example is the function that relates each real number x to its square x^2. The output of a function f corresponding to an input x is denoted by f(x).
Plot the lines found in Ex…
Find the equations of the …
for this problem. We've been asked to graph the equation that we obtained an exercise 19. If you need to go back and look at 19 1 more time before you continue, you could go ahead and pause this video, look at Exercise 19 and then come back. Okay, so in 19, we ended up with the equation. X equals 12. And if you read exercise 19, we were told that this is a vertical line, but let's suppose we don't know that it's vertical. How could we find out even without it explicitly being told to us? Well, let's review the form of a standard line. We usually write lines in slope intercept form. It's one of the most common ways to write a line. So why equals M X plus B, where we would get the slope and the intercept, and we have an X and A Y term. But what happens if you just have a Y with no X or just have an X with no why? Well, those of your horizontal and vertical lines, but which is which? Well, let's take a look at what we have. We have X equals 12, so I'm gonna put on our X axis are X intercept. X equals 12. 123456789 10, 11, 12. I'm just off of where I drew that. So I'm gonna put that green dot right there at X equals 12. Okay, Now what this equation tells me is that why doesn't matter? I can have any y coefficient. I want the X coefficient, though. Can't change. It has to be 12. So I could go 12 1 12 to 12, 3, 12, 5, 12, 10 I could do 12. Negative. 4 12 Negative. 7 12. Negative 10. I can change the wide to be anything I want. The X is unchanging, but that gives me when I connect. These dots is a vertical line So even though you know, they they do tell me which is a nice confirmation. But even without that, I still can tell that this has to be a vertical line with an X intercept at X equals 12
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