I am having trouble with the following question.
Two functions are defined as
a) Find the smallest possible value of a given that the domain of the function h, where , is a is less than or equal to x and 2 is greater than or equal to x
Hello, johnsy123!
Very clumsy and misleading wording!
WHO wrote this question?
. . Public flogging may be appropriate punishment.
. . . .
Now that I understand the problem, it's too easy.
We have: .
We see that must be nonnegative.
So, the domain is: .
. . Therefore: . . .Duh!
Because they are not smallest. And your problem asked you to "Find the smallest possible value of a".
??? What is this in response to? There are no negative numbers in the domain of square root if that is what you meant.
Your function is with . It is easy to see that the smallest value of f(x) occurs when x= 2: but the maximum value is harder. I recommend graphing the function between x= 0 and x= 2.