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berkeman said:But your function looks to be only defined over -l to +l -- why are you asked to extend it outside of that definition? Is there more to the question? Is that really how the problem is stated in the book?
Ah, yes. You left out the "and" part...Setareh7796 said:I have attached the full question as stated in the problem sheet.
According to the belated problem statement, f(x) = f(x + 2l).berkeman said:So f(x) should equal f(2l), not f(3l/2)...
Yeah, thanks Mark. I meant f(x) = f(x + 2l), not = f(x + 3l/2). Trying to type too fast I guess...Mark44 said:According to the belated problem statement, f(x) = f(x + 2l).
Sketching the graph of a function allows us to visually understand and analyze the behavior of the function. It can help us identify important features such as zeros, extrema, and asymptotes.
To sketch the graph of a function, we need to know the domain and range of the function, any critical points, and the behavior of the function at the endpoints of its domain.
The shape of a function's graph is determined by its degree and leading coefficient. For example, a linear function will have a straight line graph, while a quadratic function will have a parabolic graph.
While we can sketch the graph of most functions, there are some functions that cannot be easily sketched, such as those with infinitely many discontinuities or those with constantly changing behavior.
There are various graphing calculators and online tools that can help us sketch the graph of a function accurately and efficiently. These tools can also provide additional features such as zooming, tracing, and displaying the equation of the graph.