Answer:
17/2
Step-by-step explanation:
The graph of the given absolute funciton |2xd-5| is attached below
Find the area of each triangle using the graph
Take the area from x=0 to 4
break the graph into two right angle triangle
Area of the triangle = 1/2 times base times height
Green triangle x=2.5 to 4
base = 3/2 and height = 3
Area of green part =[tex]\frac{1}{2} \cdot \frac{3}{2} \cdot 3 =\frac{9}{4}[/tex]
Red triangle x=0 to 2.5
base = 5/2 and height = 5
Area of red part =[tex]\frac{1}{2} \cdot \frac{5}{2} \cdot 5 =\frac{25}{4}[/tex]
Total area=[tex]\frac{25}{4} +\frac{9}{4} =\frac{17}{2}[/tex]
