Answer:
For x ≥ 2, the graph will be a straight line parallel to x-axis and having equation y = - 3
And for x < 2 will be a straight line having equation y = x i.e. the graph makes 45° angle with the positive x-axis and passing through the origin.
Step-by-step explanation:
The piece wise function g(x) is given by
g(x) = x if x < 2 and g(x) = - 3 if x ≥ 2.
Now, the graph has two parts, one for x ≥ 2 and another for x < 2.
Here, for x ≥ 2, the graph will be a straight line parallel to the x-axis and having equation y = - 3
Again, the graph for x < 2 will be a straight line having equation y = x i.e. the graph makes 45° angle with the positive x-axis and passing through the origin. (Answer)
