posted by .

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

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

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

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).

## Similar Questions

1. ### Pre-Calc

Could somebody please check this for me? Dtermine whether the graph of each equation is symmetric with respect to the origin, the x-axis, the y-axis, and the line y=x or the line y=-x. I came up with the line being symmetric to the
2. ### Math

Is the following function symmetric with respect to the y-axis, symmetric with respect to the x-axis, symmetric with respect to the origin, or none of the above?
3. ### Pre-calculus

Is the graph of x^2/9-y^2/25 symmetric with respect to the x-axis, y-axis, neither axis, or both axes. Explain.
4. ### Math

For f(x) = 2x-3 and g(x)= 2x^2 find, a) (f + g)(x) = My answer is 2x^2 + 2x - 3. Is this correct?

Determine whether the graph of the following equation is symmetric with respect to the x-axis, the y-axis, and the origin. y^2 - x - 49 = 0 For x axis -y^2 - x - 9 = 0 is not the same as the first equation so it is not symmetrical …
6. ### Algebra

For each equation, determine whether its graph is symmetric with respect to the -axis, the -axis, and the origin. 4y^4+24x^2=28 and y=1/x^2+5 Check all symmetries that apply x-axis,y-axis,origin or non of the above.
7. ### Algebra

Restated:For each equation, determine whether its graph is symmetric with respect to the -axis, the -axis, and the origin. 4y^4+24x^2=28 and y=1/(x^2+5) Check all symmetries that apply x-axis,y-axis,origin or non of the above.
8. ### Pre-calculus

1. The graph of the equation y = x2 – 3 is symmetric with respect to which of the following?
9. ### maths2

Test the equation for symmetry with respect to the x-axis, the y-axis, and the origin. x2 + y2 + x2y2 = 4 A. Symmetric with respect to the x-axis B. Symmetric with respect to the y-axis C. Symmetric with respect to the origin D. Symmetric …
10. ### Algebra I

Determine whether the equation y=2x^4-8x+6 has a graph that is symmetric with respect to the​ y-axis, the​ x-axis, the​ origin, or none of these

More Similar Questions