Question

Graph each function on the given coordinate plane.A. Graph this step function on the coordinate grid.B. Graph this piecewise function on the coordinate grid. One piece is graphed for you.

Answer 1

Step 1: Write out the function

Step 2: State the rules

Step 3; Plot the function on a graph sheet.

Explanation

$\begin{gathered} \text{The black represent 1, if x}\leq\text{ -1} \\ \text{The red represent x + 2, if -1 < x }\leq\text{ 2} \\ \text{The blue represent 4, if x > 2} \end{gathered}$

For the black line, when x = -1 , y = 1. so, your line start from intercept of -1 and 1.

For the red line, when x + 2 , when x = -1, y = 1. and when x = 2, y = 4.

Next, you locate the coordinates of the points and draw a straight line.

For the blue line, when x = 2 , y = 4. so, your line start from intercept of 2 and 4.