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Sagot :
Check whether a polynomial function is an odd-degree or even-degree function, as well as whether the leading coefficient is positive or negative, before attempting to determine its end behavior.
Given,
The polynomial end behavior;-
The behavior of the function graph at the "ends" of the x-axis is known as the end behavior of a function, or f. In other words, if we look at the right end of the x-axis (as x approaches +) and the left end of the x-axis (as x approaches ), the end behavior of a function represents the trend of the graph.
Here,
Look at the polynomial function's leading term to identify its end behavior. The leading term will dominate the graph since it has the largest power and will thus increase much more quickly than the other terms as x gets very large or very small.
That is,
Check the function's odd- or even-degree status and the leading coefficient's positive or negative value before attempting to forecast the polynomial function's end behavior.
Learn more about polynomial end behavior here;
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