Two athletes, Jack and Jill, invite you invite you to participate in a 5K run with several hills. One hill can be represented by the function f(x) = 2x2 + 5. Another hill can be represented by the function g(x) = 2x2 - 3x + 4. Describe to Jack and Jill, using complete sentences, which operation results in the largest degree function and which operation results in the smallest degree function. Show your work to justify your reasoning.

Question

Two athletes, Jack and Jill, invite you invite you to participate in a 5K run with several hills. One hill can be represented by the function f(x) = 2x2 + 5. Another hill can be represented by the function g(x) = 2x2  - 3x + 4. Describe to Jack and Jill, using complete sentences, which operation results in the largest degree function and which operation results in the smallest degree function. Show your work to justify your reasoning.