Q. 19 - Precalculus Enhanced with Graphing Utilities

Question

Graph each function.

$f\left(x\right)=\left\{\begin{array}{ll}2-x if& x\le 2\\ \left|x\right| if& x>2\end{array}\right.$

Step-by-Step Solution

Answer

On graphing the equation, we get,

Step 1. Given information.

Consider the given function,

$f\left(x\right)=\left\{\begin{array}{ll}2-x if& x\le 2\\ \left|x\right| if& x>2\end{array}\right.$

Substitute values in the equation,

Now, plot the graph using the points.

Step 2. Plot the graph.

On plotting the graph,