# 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.