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Sagot :
The end behavior for this polynomial function is like;
f(x)--> +∞, as x--> −∞
f(x)--> +∞, as x--?>+∞
Given,
The polynomial function; y = 7x12 – 3x8 – 9x4
We have to find the nd behavior of the graph of the polynomial function;
End behavior of polynomial function;
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,
We examine the polynomial's degree and the sign of the coefficient of the variable with the highest exponent to determine the graph's final behavior.
- The degree is even 12.
- The coefficient, 7, is a positive number.
That is,
The end behavior for this polynomial function is like;
f(x)--> +∞, as x--> −∞
f(x)--> +∞, as x--?>+∞
Learn more about end behavior of polynomial function here;
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