Answer:
2 < x ≤ 3 ; f(x) = 3
0 < x ≤ 1 ; f(x) = 1
1 ≤ x ≤ 2 ; f(x) = x
3 < x ≤ 4 ; f(x) = 4
Step-by-step explanation: Given graph has segments of equations:
y = 1
y = x
y = 3
y = 4
For segment function f(x)=1, we hollow dot on x=0 and a solid dot on x=1.
Therefore,
f(x) = 1 ; 0 < x ≤ 1
For segment function f(x)= x, we solid dot on x=a and a solid dot on x=2.
Therefore,
f(x) = x ; 1 ≤ x ≤ 2
For segment function f(x)=3, we hollow dot on x=2 and a solid dot on x=3.
Therefore,
f(x) = 3 ; 2 < x ≤ 3
For segment function f(x)=4, we hollow dot on x=3 and a solid dot on x=4.
Therefore,
f(x) = 4 ; 3 < x ≤ 4
