Question

Two athletes, Jack and Jill, 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 of the operations—addition, subtraction, multiplication, and division—will result in the largest degree function and which operation will result in the smallest degree function.

Answer 1

Remember last time I told you this:

multiplication - add powers
division - subtract powers

Answer 2

Now for maximum degree means the highest power of x must be maximum

Answer 3

What is the degree of f(x) ?

Answer 4

2?

Answer 5

@vishweshshrimali5

Answer 6

Very good

Answer 7

okay sooo

Answer 8

You have found the correct degree. Now, what is the degree of g(x) ?

Answer 9

also 2?

Answer 10

Perfect

Answer 11

Now, what is f(x) + g(x) ?

Answer 12

the degrees? added together?

Answer 13

No first add both equations