Examine the power functions y=ax^2 and y=ax^4, Which of the following statements are true about the functions?

Question

I. Domains are all real numbers

II.The graphs are symmetric with respect to the y-axis.

III. There is only one real zero at (0,0)

IV If a<0, then y approaches -∞ and if a>0, then y approaches +∞

Answer 1

I. Domains are all real numbers - TRUE

II.The graphs are symmetric with respect to the y-axis. - TRUE

III. There is only one real zero at (0,0) - TRUE

IV If a<0, then y approaches -∞ and if a>0, then y approaches +∞ - TRUE