the second one is the question and the first one is the ques

the second one is the question and the first one is the question to the it..

2. What is the domain of f? 5 points) 3. What is the range of f? (5 points) 25 points) 5. What is the minimum value off for all x in its domain? (5 points) 6. Does f have a maximum value on for all x in its domain? (25 points)

Solution

f(x) = sqrt( -1 -x ) for all x<=-1

2) Domain: : -1 -x >=0

x< =-1 ; ( -inf, -1]

3) f(x) > 0

So, Range : [0, infintiy)

4) We can see from the graph of f(x) as x ---increasing , value of f(x) is decreasing and goes down to zero,

So, in its Domain : f(x) is decreasing

5) Minimum value of f(x) =0 at x=-1; f(-1) = sqrt(-1 +1) =0

6) There is no maximum value as f(x) ---infinity as x---- - infinity in the domain