Answered

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Find the nature of the graph of the function y = 9x4 + 8x - 2 using end
behavior.

Sagot :

facundo3141592

the end behavior is:

  • as x ⇒ ∞, f(x) ⇒∞
  • as x ⇒- ∞, f(x) ⇒∞

What is the end behavior of the function?

If we have a polynomial of even degree, then the end behavior in both ends is the same one.

Particularly, in these cases (even degree) we only need to look at the leading coefficient. If it is positive, then as x tends to infinity and negative infinity, the function tends to infinity.

In this case, the polynomial is:

y = 9x⁴ + 8x - 2

Notice that the degree is 4, even, and the leading coefficient is 9 (positive).

Then the end behavior is:

  • as x ⇒ ∞, f(x) ⇒∞
  • as x ⇒- ∞, f(x) ⇒∞

If you want to learn more about end behaviors:

https://brainly.com/question/1365136

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