Step-by-step explanation:
To graph piece wise function, make a table for each f(x)
f(x)= 3x+2 if x<5, x is less than 5 so we assume x values that is less than 5
x y=3x+2
5 3(5) +2 = 17 (5,17)
1 3(1)+2= 5 (1,5)
2 3(2) + 2= 8 (2,8)
f(x)= -3x-2 if x>=5, x is greater than or equal to 5 so we assume x values that is greater than 5
x y=3x+2
5 -3(5) -2 = -17 (5,-17)
6 -3(6)-2= -20 (6,-20)
7 -3(7) - 2= -23 (7,-23)
Graph all the points we got from the table
Correct graph is attached below
