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Plot the lines found in Exercise $16$.

Algebra

Chapter 1

Functions and their Applications

Section 1

The Line

Functions

Missouri State University

Oregon State University

Harvey Mudd College

Lectures

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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).

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Plot the lines found in Ex…

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Find the equations of the …

for this problem. We've been asked to graph the equation that we got from exercise number 16. If you need to take a moment to go back and look at exercise 16, see what equation we're talking about, where we got it from. If you need to do that, you can pause this video, go look at 16 and then come back. So the equation we got from exercise 16 was X equals negative one. Now 16 actually told us that this was a vertical line. But even if we didn't know that, let's pretend we don't know that. How would we find that from this equation? Well, typically, we could put an equation of a line into slope intercept form. Why equals M X plus B? We have an X. We have a Y, and we can get everything we need from there. If I have just why or just X and not the other one that's gonna be either a vertical or horizontal line. Okay, so let's look at what X equals One means I'm sorry. X equals negative. One x equally negative one is right there. And that means that I'm intercepting the X axis that negative one because of why is zero X is gonna be negative one? Uh, and it doesn't matter. What? Why is the only thing these points have in common is their ex valleys were always the same for always. Negative one. So I could have negative 11 negative one to negative. 13 Negative one negative. Four. Negative one negative. Six. It doesn't matter what the Y value is. I'm going to come right down, or X equals negative one, which is indeed the vertical line that we expected.

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