POLQ 3 | Lesson 3 | Solutions (Polynomial Characteristics)

Function Degree Leading Coefficient Left Side Behavior Right Side Behavior
\(f(x)=x^2\) 2 Positive Graph rises to the left. Graph rises to the right.
\(f(x)=-x^2+7\) 2 Negative Graph falls to the left. Graph falls to the right.
\(f(x)=2x^3-4\) 3 Positive Graph falls to the left. Graph rises to the right.
\(f(x)=-4x^5\) 5 Negative Graph rises to the left. Graph falls to the right.
\(f(x)=2x^4-9\) 4 Positive Graph rises to the left. Graph rises to the right.
\(f(x)=-x^6\) 6 Negative Graph  falls to the left. Graph falls to the right.

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