For the function $$ f(x)=-2 x^{3}-6 x^{2}+3 x-4 $$, state: a) Degree (even or odd) b) Name of polynomial type based on degree c) Sign of leading coefficient d) End behaviours [Answer this type of question in words, not with a diagram] e) Domain [Use the letter "e" in place of $$ \in $$, or find the "E" symbol in the Insert Symbol option in the formatting bar of the answer box. The symbol can be found near the enter/return key on your keyboard, or use a comma ":"]

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1. **Degree and Even/Odd**  
   The term with the highest exponent in the function $$ f(x) = -2 x^{3} - 6 x^{2} + 3 x - 4 $$ is $$ -2 x^{3} $$, which has an exponent of $$ 3 $$.  
   - **Degree:** $$ 3 $$ (odd)

2. **Name of Polynomial Type Based on Degree**  
   A polynomial of degree $$ 3 $$ is called a **cubic polynomial**.

3. **Sign of Leading Coefficient**  
   The leading coefficient is the coefficient of the term with the highest degree. Here, it is $$-2$$.  
   - **Sign of Leading Coefficient:** Negative

4. **End Behaviors**  
   For a cubic polynomial with a negative leading coefficient:
   - As $$ x 	o -\infty $$, the function $$ f(x) $$ tends towards $$ \infty $$.
   - As $$ x 	o \infty $$, the function $$ f(x) $$ tends towards $$ -\infty $$.

5. **Domain**  
   All polynomial functions are defined for all real numbers.  
   - **Domain:** All $$ x $$ such that $$ x \, e \, (-\infty, \infty) $$.
1. **Degree and Even/Odd:** The function is a cubic polynomial with an odd degree. 2. **Name of Polynomial Type Based on Degree:** It's a cubic polynomial. 3. **Sign of Leading Coefficient:** The leading coefficient is negative. 4. **End Behaviors:** As $$ x $$ approaches negative infinity, $$ f(x) $$ approaches positive infinity. As $$ x $$ approaches positive infinity, $$ f(x) $$ approaches negative infinity. 5. **Domain:** All real numbers, $$ x \, e \, (-\infty, \infty) $$.

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