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Mathematics
General Math
Which procedure takes the minimum time to solve modulus functions?
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[QUOTE="I like Serena, post: 6785248, member: 312166"] Hi Nousher, and welcome to MHB! First, move all terms to the left side. That will be the function that we analyze. The solutions are the values where the function intersects the x-axis. These are the so called 'zeroes'. Then whatever the sign of each term, the result is a straight line. Since some signs change at the critical points, we are talking about a set of line segments that are connected to each other. So if we evaluate the function at those critical points, we can draw the graph by drawing the line segments between the critical points. More specifically, if 2 neighboring function values are on different sides of the x-axis, there must be a zero in between. We can then deduce what the sign of each term is and solve the resulting equation. We don't even have to draw the function for that. On the other hand, if the neighboring function values are on the same side of the x-axis, there cannot be a zero in between. That leaves potential zeroes below the lowest critical point, or above the highest critical point. So we need to check if the corresponding line segments slope towards the x-axis, in which case we need to solve the corresponding equations as well. [/QUOTE]
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Mathematics
General Math
Which procedure takes the minimum time to solve modulus functions?
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