So it seems like this equation is also a function

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Unformatted text preview: t can be plugged into the equation will yield exactly one y out of the equation. There it is. That is the definition of functions that we’re going to use. Before we examine this a little more note that we used the phrase “x that can be plugged into” in the definition. This tends to imply that not all x’s can be plugged into and equation and this is in fact correct. We will come back and discuss this in more detail towards the end of this section, however at this point just remember that we can’t divide by zero and if we want real numbers out of the equation we can’t take the square root of a negative number. So, with these two examples it is clear that we will not always be able to plug in every x into any equation. When dealing with functions we are always going to assume that both x and y will be real numbers. In other words, we are going to forget that we know anything about complex numbers for a little bit while we deal with this section. Okay, with that out of the way let’s get back to the definition of a function. Now, we started off by saying that we weren’t going to make the defi...
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