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

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

 

asked Jul 28, 2015 in CALCULUS by anonymous
reshown Jul 28, 2015 by bradely

1 Answer

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Step:1

Graph f :

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

Observe the graph.

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

Step:2

Graph g:

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

Observe the graph.

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

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

Solution:

f is odd function.

g is even function.

answered Jul 28, 2015 by dozey Mentor

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