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How do you describe the end behaviors (the left and right branches) of an even degree polynomial? both left and right branches are in the direction going to the right both left and right branches are in opposite directions both left and right branches go in the same directions the degree of a polynomial does not determine the end behaviors of its graph

Question

How do you describe the end behaviors (the left and right branches) of an even degree polynomial? both left and right branches are in the direction going to the right both left and right branches are in opposite directions both left and right branches go in the same directions the degree of a polynomial does not determine the end behaviors of its graph

How do you describe the end behaviors (the left and right branches) of an even degree polynomial? both left and right branches are in the direction going to the right both left and right branches are in opposite directions both left and right branches go in the same directions the degree of a polynomial does not determine the end behaviors of its graph

Solution

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QuincyMaster · Tutor for 5 years

Answer

### both left and right branches go in the same directions

Explain

## Step 1: Analyzing Even Degree Polynomials<br /><br />### An even degree polynomial, like $f(x) = x^2$ or $g(x) = x^4 - 3x^2 + 1$, will always have both end behaviors going in the same direction. If the leading coefficient is positive, both ends go up (like $x^2$). If the leading coefficient is negative, both ends go down (like $-x^2$).
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