Calculus, 8th Edition,stewart; page 22 problem 69

Question

Graphs of f and g are shown. Decide whether each function is even, odd, or neither. Explain your reasoning.

 

Answer 1

Step:1

Graph  :

A function is odd function if the graph of the function is symmetric about the origin.

Observe the graph.

The graph  is odd function, because it is symmetric about the origin.

Step:2

Graph :

A function is even function if the graph of the function is symmetric about the axis.

Observe the graph.

The graph  is even function, because it is symmetric about the  axis.

The function on one side of the graph  is reflects on other side.

Solution:

 is odd function.

 is even function.