Big Ideas Math Algebra 2, 2014
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Big Ideas Math Algebra 2, 2014 View details
8. Analyzing Graphs of Polynomial Functions
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Exercise 46 Page 217

A function is an even function when for all in its domain. A function is an odd function when for all in its domain.

Neither

Practice makes perfect

Before we begin, let's recall two important definitions.

Let's see how the graphs of these types of functions look.
Consider the graphs above. We can see that for even functions, if is on the graph, then is also on the graph. Meanwhile, for an odd function, if is on the graph, then is also on the graph. Now, consider the given function.
Let's calculate
Next, let's calculate
Finally, let's think about what these results tell us.

Since and the function is neither an even nor an odd function.