Which graphs exhibits the symmetry of an odd function (aka point symmetry rotational symmetry) ?
1. f(x)
2. h(x)
3. j(x)
4. p (x)

An odd function exhibits symmetry about the origin (0,0). When you fold its graph in half along the y-axis, the resulting halves are mirror images of each other.

In other words, if you rotate the graph 180 degrees about the origin, it remains unchanged

Also, odd functions always have to pass through the origin to maintain the rotational symmetry

These functions also satisfy the property that
[tex]f(-x) = - f(x)[/tex]

The only function that satisfies these conditions is the first one, f(x)
The other functions don't even pass through the origin so we can quickly eliminate these choices

Which graphs exhibits the symmetry of an odd function (aka point symmetry rotational symmetry) ? 1. f(x) 2. h(x) 3. j(x) 4. p (x)

Answer :

Other Questions

Which graphs exhibits the symmetry of an odd function (aka point symmetry rotational symmetry) ?
1. f(x)
2. h(x)
3. j(x)
4. p (x)