Answer:
Explanation:
See the attached graph/worksheet.
First, find the equations for the two lines.
Left line
Y is always -2, regardless of x. The equation for this is simply y = -2. The line is not dependent pn x at all
Right Line
Find the slope of this line by taking any two points on the line and calculating the slope. Slope is the Rise (y) over the Run (x). The worksheet illustrates the calculation. The slope of this line is 1. That allows writing an equation in slope-intercept format:
y = 1*x + b
b, the y-intercept, can be found by entering one of the two identified points into the equation and solving for b. We find a b of - 3. The equation for this line is y = x - 3.
The functions for both lines may now be entered in the first column of answer boxes.
y = -2, and y = x - 3
These are piecemeal functions, so they are valid only over a defined range of x,
The left line shows x < 0. Zero is NOT included because it is a hollow circle.
The right line shows all values of x > 5. Since the point is a hollow circle, 5 is not included in the permissible values of x.