#functions
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First you wanna ask yourself what is a and b? Since a function and domain are mentioned, and im assuming you know how to find and merge function domains, find the domain
And it has named the startpoint of the domain interval a. This means when you find the domain, for example [1,2] startpoint is 1. So a would be 1. 2 would be endpoint. So b would be 2.
And once you have found both startpoint and endpoint, it becomes basic algebra
Its essentially asking for the sum of domain startpoint squared and endpoint squared. Plug the numbers and add
one problem. It's asking for the sum of the range end points squared ๐
I'm still tryna figure it out since it's not monotonously increasing or decreasing tbh
So can't just plug in end points of domain to f(x)
The inflection point is that x = 10 tho and f'(x) is monotonously decreasing
So the max is at x= 10
As for the endpoints of the domain, they both actually give equal values but they would be the mininums of the range
OK gots the answer now
I used calculus tho hm
Maybe there's another way to find the max
Oh finding the mins and max of f(x)^2 is easier
And doesn't require calculus
That's all I'll say for now ๐
Oh shit it gave range