Question

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

A) Yes, because odd powers always result in negative values.
B) No, because the function could be even depending on other factors.
C) Yes, because odd powers preserve the sign of the variable.
D) No, because odd powers can also result in positive values.

Answer 1

The statement that a function made of terms with a variable raised only to an odd power will be an odd function is not true. So ,The correct answer is: B) No, because the function could be even depending on other factors.

Step-by-step explanation:

The statement that a function made of terms with a variable raised only to an odd power will be an odd function is not true. The function could be even depending on other factors. The key characteristic of an odd function is that it is symmetric about the origin, which is not guaranteed by having terms with variables raised only to odd powers. Therefore, the correct answer is that the function could be even depending on other factors.

The correct answer is: B) No, because the function could be even depending on other factors.