4. Sketch a graph of the following piecewise function: x², 2, x-7, x ≥ 4 g(x) = x < -3 -3

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Question
4. Sketch a graph of the following piecewise function:
x²,
2,
x - 7,
g(x)
=
x < -3
-3≤x≤ 4
x ≥ 4
Make sure you label each axis with at least two numbers
Transcribed Image Text:4. Sketch a graph of the following piecewise function: x², 2, x - 7, g(x) = x < -3 -3≤x≤ 4 x ≥ 4 Make sure you label each axis with at least two numbers
Expert Solution
Step 1: Given information:

Given that the piecewise function is 

                                  g left parenthesis x right parenthesis equals open curly brackets table row cell x squared comma end cell cell x less than negative 3 end cell row cell 2 comma end cell cell negative 3 less or equal than x less than 4 end cell row cell x minus 7 comma end cell cell x greater or equal than 4 end cell end table close.

To sketch the graph of the given function.

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