Question

Dimetri says that a function that is made of terms where the variable is raised only to an odd power will be an odd function. Do you agree with Dimetri? Explain why or why not.

Answer 1

No, I do not.

Explanation:
Algebraically, an odd function is one where f(-x) = -f(x). This means that if we substitute -x for every x in the function, it should be the same as switching every sign in the function. This does not always work.

For example, if f(x)=x³+7:
f(-x)=(-x)³+7=-x³+7.

However, since the 7 did not become -7, it is not the same as -f(x), so it is not an odd function.

Answer 2

Dimetri statement is incorrect, as the function is odd if its greatest degree is odd when the lower terms are ignored.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

As we know,

For even function: f(-x) = f(x)

For odd function: f(-x) = -f(x)

If Dimetri says that, a function that is made of terms where the variable is raised only to an odd power will be an odd function.

The Dimetri statement is incorrect, as the function is odd if its greatest degree is odd when the lower terms are ignored.

Thus, Dimetri statement is incorrect, as the function is odd if its greatest degree is odd when the lower terms are ignored.

Learn more about the function here:

brainly.com/question/5245372

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