Question

multiple choice 1 point 29) which describes the degree and leading coefficient of the graph below? a. odd degree, positive leading coefficient b. odd degree, negative leading coefficient c. even degree, positive leading coefficient d. even degree, negative leading coefficient

Explanation:

Step1: Analyze end behavior

For polynomial graphs, when both ends go in the same direction (both up or both down), the degree is even. Here, as $x\to+\infty$, $y\to+\infty$; as $x\to-\infty$, $y\to+\infty$, so degree is even.

Step2: Analyze leading coefficient sign

For even-degree polynomials, if both ends point upward, the leading coefficient is positive. This matches the graph's behavior.

Answer:

C. even degree, positive leading coefficient