To graph the function -|2x-1|+3, we will solve for two cases: when 2x-1 ≥ 0 and when 2x-1 < 0. We will then graph each case and find their intersection point.
To graph the function -|2x-1|+3, we will break it down into two cases: when 2x-1 ≥ 0 and when 2x-1 < 0.
Case 1: 2x-1 ≥ 0
In this case, the function simplifies to -|2x-1|+3 = -(2x-1)+3 = -2x+4.
Case 2: 2x-1 < 0
In this case, the function simplifies to -|2x-1|+3 = -(-(2x-1))+3 = 2x-1+3 = 2x+2.
Now we can graph both cases and observe their intersection point to get the complete graph of the function.
The graph is given below: