For each of the functions below, state the domain and range, the restrictions, the intervals of increasing and decreasing, the roots, y-intercepts, and vertices.
a. f(x)= √x-2
b. f(x)= x+1/x−1
I have no idea what to do for both questions please help!
+130536 a. I'm assuming this is sqrt(x - 2)....If so.......remember that the quantity under the sqare root can't be less than 0
So.....the minimum value for x is 2........so the domain is [2, infinity]
The range = [0, infinity ]
Restrictions .....x cannot be less that 2
This function increases from x = 2 to infinity
x= 2 makes this function 0.....therefore......it's a root
This function has no y intercept because it is not defined at x = 0
There are no "vertices"
Here's the graph......https://www.desmos.com/calculator/uu9oiez9ee
