Question

Graphing Even and Odd Functions The graph of a function defined for $x\ge 0$ is given. Complete the graph$x<0$to make (a) an even function and (b) an odd function.

Short answer

The graph for even function.

The graph for odd function.

Step-by-step solution

Step 1. Concept of graph of an even function.

The graph of an even function is symmetric about y-axis.

Step 2. Concept of graph of an odd function.

The graph of an odd function is symmetric about the origin.

Step 3. Draw the graph for an even function.

The graph for an even function is,

Step 4. Draw the graph for an odd function.