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?

Answer 1

Sample Response: He is correct only if there is no constant term. −x to an odd power is −x, so the signs will change on the terms with the variable but not on the constant term.

Explanation:

Answer 2

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?

Step-by-step explanation:

If g is an odd function and f is an odd function then g ◦ f is odd.

g ◦ f (x) = g (f (x)) = g (−f (−x)) = −g (- (- f (−x))) = −g (f (−x)) = - g ◦ f (−x)

The answer is: No, I am not agree with Dimetri, statement is false because there are so many counterexamples.