Find the intervals on which the function f(x) = ax2 + bx + c (where "a" doesn't = 0) is increasing and decreasing. Describe the reasoning behind your answer.

Step-by-step explanation:

Given that:

The derivative of the function of x is  

Thus; f(x) is increasing when f'(x) > 0

f(x) is decreasing when f'(x) < 0

i.e

f'(x) > 0 , when  b > 0  and a < 0

∴

2ax + b < 0

2ax < - b

f'(x) < 0 , when  b < 0  and a > 0

2ax + b > 0

2ax > - b

hello i am doing good for you that it's summer in your country or state ; )

btw in my country we just have sun and rain as (because i live in the caribbean lol)

also, thx a lot for the points : )

8

step-by-step explanation:

just put √(2) * √(32) into a calculator. that will make the answer be 8.