THIS IS A BLOG FOR MR. KELLY'S MATH CLASS
Pre Calc
Limits are a horizontal or vertical line on a graph that a function does not cross or touch.
You can tell that a limit exists if you plug a number into a function and the answer doesn't exist. Limits help us explain function behavior at points of discontinuity by allowing us to explain what is happening to the function on either side of the discontinuity.
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By graphing an equation, we are able to see the "easy zeros," and we can then use them to find any other zeros (if there is any). The highest power of the equation tells us how many zeros the equation has, and, in turn, how many factors it has because the number of zeros and the number of factors are the same. If we set the zeros equal to x and solve, we find the factors of an equation. Although, sometimes there is some zeros that aren't as easy to identify, such as imaginary zeros and square root zeros. These ones can be found through division by dividing the entire equation by the easy zeros until you are left with a polynomial function, then setting it equal to zero and solving.
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