1. \( \quad f(x)=3 x^{2}-5 x^{3} \) SF: Number of Terms: Degree: Leading Coefficient:

The function \( f(x) = 3x^2 - 5x^3 \) has two distinct terms: \( 3x^2 \) and \( -5x^3 \). Each term consists of a coefficient and a variable raised to a power, making it easy to spot how they contribute to the function's overall behavior. The degree of the polynomial is determined by the term with the highest exponent, which is \( -5x^3 \). Hence, the degree of this function is 3, indicating that the graph can feature up to three x-intercepts and can exhibit cubic behaviors like inflection points. The leading coefficient, found in front of the highest degree term, is \( -5 \), giving us clues about the end behavior of the graph; since it's negative, the function will eventually decrease as x approaches infinity.