Question

Match the portions of piecewise functions represented in the graph with their corresponding ranges of x=values.

Answer 1

there are four sections of graph:
2<x≤3 f(x)=3
0<x≤1 f(x)=1
1≤x≤2 f(x)=x
3<x≤4 f(x)=4

Answer 2

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