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What is the end behavior of the graph of the polynomial function y 7x12 3x8 9x4?

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--?>+∞

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