yarelis415
Answered

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)

Which graphs exhibits the symmetry of an odd function aka point symmetry rotational symmetry 1 fx 2 hx 3 jx 4 p x class=


Answer :

rvkacademic

Answer:

1.   f(x)

Step-by-step explanation:

What is an odd function?

  • 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

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