cheeseemann cheeseemann
  • 13-07-2021
  • Mathematics
contestada

I need to verify this function is symmetric with respect to the y-axis. How would I go about doing that?
h(x)=x^4-5x^2+3

Respuesta :

ConcepcionPetillo ConcepcionPetillo
  • 19-07-2021

Answer:

Yes, the function is symmetric about y-axis.

Step-by-step explanation:

To check whether the function is symmetric with respect to y-axis, replace each x as -x and simplify.

If h(x) = h(-x) then it is symmetric about y-axis.

Let's find h(-x) now.

h(-x)= [tex](-x)^4} -5(-x)^{2} +3[/tex]

Let's simplify it

h(-x)=[tex]x^{4}-5x^{2} +3[/tex]

Here, h(x) = h(-x). The function is symmetric about y-axis.

       

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