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Answer in Calculus for CCW #237904

Author:
January 26th, 2023

Unit 1 Review:

4) Using the function f(x)= { 3x+2 -3 < x < 1

{ -2x + 5 1 < x < 4

and plot on a graph

The graph of this function consists of two parts – straight line segments with punctured ends. The ends of the line segments will be punctured because the function at these points is undefined.

Let’s consider “y=3x+2, -3<x<1” . Find the values at the ends : “x=-3implies y=-7; x=1implies y=5” . Also the points “(0;2), (-2/3;0)” belong to this graph

Let’s consider “y=-2x+5, 1<x<4” . Find the values at the ends : “x=1implies y=3; x=4implies y=-3” . Also the point “(2,5;0)” belong to this graph

The corresponding construction is shown in the figure.

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