Answer: D : x ∈ (1, ∞)
Step-by-step explanation:
for a function y = f(x)
The range is the set of possible values of y.
The domain is the set of the possible values of x.
We want to find the domain on which the function is increasing.
A function is increasing if, reading from left to right, the "y" value of the function increases (or the graph goes upward)
Then we need to see on which point the graph starts going up. We can see that this happens at the vertex of the parabola, at x = 1, and it keeps increasing infinitely.
then we can write this domain as:
D : x ∈ (1, ∞)