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2 votes
2 votes
F(x)=
x-4,
3-x,
if x<2
ifx≥2

F(x)= x-4, 3-x, if x<2 ifx≥2-example-1
User Katie Hudson
by
3.4k points

1 Answer

15 votes
15 votes

Answer:

See attached graph.

Explanation:

Each inequality is valid only for the range indicated. f(x)=x-4 is valid for all points LESS than (not including) 2. f(x) = 3-x is valid for all points greater than AND EQUAL to 2.

I graphed both lines, then erased the portion of each line not covered by the range restriction. The dark blue lines are the result. The top line has a dot for the x=2 position, to indicate it is a part of the line. The bottm line does noit have a similar dot, since it6 is not included in the range (x<2),

F(x)= x-4, 3-x, if x<2 ifx≥2-example-1
User Benoit Pasquier
by
2.8k points
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