Homework Help: Pre-Calculus-check answers

Posted by Lucy on Sunday, August 10, 2008 at 12:22pm.

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

Pre-Calculus-check answers - Lucy, Sunday, August 10, 2008 at 12:23pm
Oops, forgot to mention that the answer for problem 2 is d.
Pre-Calculus-check answers - Damon, Sunday, August 10, 2008 at 1:39pm
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).

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