Final Answer:
The graph of the function f(x)=( is a V-shaped graph with the vertex at (2, 2) and opening downwards.
Step-by-step explanation:
The function f(x)=x can be graphed by considering the two separate pieces of the function. For x<2, the function is |x|, which represents the absolute value of x. This portion of the graph is a V-shaped graph with the vertex at (0, 0) and opening upwards. For x>=2, the function is -x+4, which represents a straight line with a y-intercept at 4 and a slope of -1. This portion of the graph is a line that starts at (2, 2) and extends downwards to the left.
Combining these two portions of the graph, we get a V-shaped graph with the vertex at (2, 2) and opening downwards. The left side of the graph represents the absolute value portion |x| for x<2, and the right side represents the linear portion -x+4 for x>=2.
This combined graph accurately represents the function f(x)=x.