Answer to Question #237904 in Calculus for CCW

Question

Unit 1 Review:

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

{ -2x + 5 1 < x < 4

and plot on a graph

Answer 1

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 : $x=-3\implies y=-7; x=1\implies y=5$ . 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 : $x=1\implies y=3; x=4\implies y=-3$ . Also the point $(2,5;0)$ belong to this graph

The corresponding construction is shown in the figure.