Answer: f(x) = 1 ; 2 < x < 3.
f(x) = 5 − x ; 3 < x ≤ 5.
f(x)= 3 ; x=2
f(x) = x; 0 ≤ x < 2.
Step-by-step explanation:
For the graph for line y=1, we have x range from 2 to 3.
Therefore, f(x) = 1 ; 2 < x < 3
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f(x) = 5 − x
For the line segment y=5-x, we have starting x value is 3 and last value of 5.
Therefore, f(x) = 5 − x ; 3 < x ≤ 5.
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f(x) = 2
f(x) =2 don't fall any x value, because we have hollow dots on y=2.
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f(x) = 3
F(x) =3 fall when x=2.
Therefore, f(x)= 3 ; x=2.
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f(x) = x
For the line segment y=x, we have starting x value is 0 and last value of 2.
Therefore, f(x) = x; 0 ≤ x < 2.
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f(x) = 3 − x
f(x) =3-x don't fall any x value, because we don't have any segment y=3-x there.
