SOLUTION: Suppose that the function g is defined, for all real numbers, as follows. g(x) = - 4 if x < - 3 x - 1 if - 3 <= x <= 2 3 if x > 2 Graph the function g.

Algebra ->  Graphs -> SOLUTION: Suppose that the function g is defined, for all real numbers, as follows. g(x) = - 4 if x < - 3 x - 1 if - 3 <= x <= 2 3 if x > 2 Graph the function g.      Log On


   

Question 1206484: Suppose that the function g is defined, for all real numbers, as follows.
g(x) =
- 4 if x < - 3
x - 1 if - 3 <= x <= 2
3 if x > 2
Graph the function g.
Found 2 solutions by MathLover1, math_tutor2020:
Answer by MathLover1(20850) About Me  (Show Source):
Answer by math_tutor2020(3817) About Me  (Show Source):
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Answer:


I used GeoGebra to make the graph.

There is an open hole at (2,3)
There is a closed filled in endpoint at (2,1)
The open hole is to signal that part of the graph isn't there. This is because of the lack of "or equal to" when describing the third portion of the piecewise function.

The red part is the first piece of the piecewise function. It's the graph y = -4 but only when x < -3.

The blue part is the second piece of the piecewise function. It's the graph y = x-1 but only when -3+%3C=+x+%3C=+2.

Lastly the green part is the third piece of the piecewise function. It's the graph y = 3 but only when x > 2.