Asked by Lucy

The graph of the equation y=x^3-x is symmetric with respect to which of the following?
a) the x-axis
b) the y-axis
c) the origin
d) none of these

Answer: c

2) The graph of an odd function is symmetric with respect to which of the following?
a) the x-axis
b) the y-axis
c) the line y=x
d) none of these

Thanks

Answers

Answered by Lucy
Oops, forgot to mention that the answer for problem 2 is d.

Answered by Damon
In both case I agree. In 1) the function is odd and therefore symmetric about the origin
In 2)again an odd function is symmetric about the origin, so none of the above

Definition of Odd Function

A function with a graph that is symmetric with respect to the origin. A function is odd if and only if f(–x) = –f(x).
There are no AI answers yet. The ability to request AI answers is coming soon!

Related Questions