Answer: The graph in the bottom right corner.
Step-by-step explanation:
We have the function:
f(x) = 3 if x < 1.
f(x) = x if x ≥ 1
First, let's analyze each part of the function:
f(x) = 3 if x < 1.
We have a constant line y = 3, such that it ends at the point x = 1 with an open dot (or white dot) (because here we have the symbol <)
f(x) = x if x ≥ 1
From x = 1 and on, we have the line y = x, such that in the point x = 1 we will have a closed dot (or black dot) that means that the point does belong to the graph.
when x = 1, we have:
f(1) = 1
Then we will have the closed dot at the point (1, 1)
Then the correct option is the one in the bottom right.
