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Precalculus Mathematics Homework Help
Analyzing the graphs of Greatest Integer Functions
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[QUOTE="opus, post: 6014560, member: 638576"] [h2]Homework Statement [/h2] Consider ##u\left(x\right)=2\left[\frac{-x}{4}\right]## (a) Find the length of the individual line segments of the function, (b) Find the positive vertical separation between line segments. [h2]Homework Equations[/h2] The output of Greatest Integer Functions are always integers. [h2]The Attempt at a Solution[/h2] I'm honestly confused about this whole situation. Length: The text states that[B] [/B]the coefficient of x within the greatest integer symbols is the length of the individual line segments of the graph. In ##u\left(x\right)=2\left[\frac{-x}{4}\right]##, the coefficient of x is ##\frac{-1}{4}##. However, the solution for the length of the graph states that [B]length=4[/B]. It explains this by stating that there's a decrease of 1 for every increase of 4 in the variable x. This would make sense if we were talking about the slope of a line, but it doesn't make any sense at all in this context. And since we're talking about the length of a line segment, does the negation matter? Vertical Separation: The text states that the coefficient of the greatest integer function is the positive vertical separation between line segments. This is a straight forward statement, and the [B]vertical separation=2[/B], but I don't see why this leading coefficient determines this. Can anyone help me get a better idea of what is going on with the graphs of these functions? [/QUOTE]
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Precalculus Mathematics Homework Help
Analyzing the graphs of Greatest Integer Functions
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