Find The End Behavior G(x)=-x^4+2x^3+5x^2-1 | Mathway

Enter a problem... Algebra Examples Popular Problems Algebra Find the End Behavior g(x)=-x^4+2x^3+5x^2-1 Step 1Identify the degree of the function.Tap for more steps...Step 1.1Identify the exponents on the variables in each term, and add them together to find the degree of each term.Step 1.2The largest exponent is the degree of the polynomial.Step 2Since the degree is even, the ends of the function will point in the same direction.EvenStep 3Identify the leading coefficient.Tap for more steps...Step 3.1The leading term in a polynomial is the term with the highest degree.Step 3.2The leading coefficient in a polynomial is the coefficient of the leading term.Step 4Since the leading coefficient is negative, the graph falls to the right.NegativeStep 5Use the degree of the function, as well as the sign of the leading coefficient to determine the behavior.1. Even and Positive: Rises to the left and rises to the right.2. Even and Negative: Falls to the left and falls to the right.3. Odd and Positive: Falls to the left and rises to the right.4. Odd and Negative: Rises to the left and falls to the rightStep 6Determine the behavior.Falls to the left and falls to the rightStep 7

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