CPM Homework Help : INT2 Problem 9-119

Write a set of equations for the piecewise-defined function shown on the graph at right. Be sure to include the domain for each part of the function. 9-119 HW eTool (Desmos).

Hint:

Look at the two pieces of the function. Notice the open and closed circles, and the values at $x = 2$ .

Answer:

$f(x)=\begin{cases}x+1, \ x \geq 2\\2x-3, \ x< 2 \end{cases}$

Piecewise function, with 2 unconnected sections: Left: ray, starts with open point (2, comma 1), passing through the point (0, comma negative 3). Right: ray, starts at open point (2, comma 3), passing through the point (7, comma 8).

Use theTool below to explore the problem.
Click the link at right for the full version of the eTool: INT2 9-119 HW eTool.