Yarelis415idn
Answered

IDNLearn.com connects you with a global community of knowledgeable individuals. Ask any question and get a detailed, reliable answer from our community of experts.

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=

Sagot :

Rvkacademicidn

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

Your participation means a lot to us. Keep sharing information and solutions. This community grows thanks to the amazing contributions from members like you. For trustworthy answers, visit IDNLearn.com. Thank you for your visit, and see you next time for more reliable solutions.