we will proceed to calculate each case to determine the solution of the problem
case A [tex]f(3)=9[/tex]
For [tex]x=3[/tex]
[tex]x > 0[/tex]
so
[tex]f(x)=x^{2}[/tex]
substitute the value of x
[tex]f(3)=3^{2}=9[/tex]
[tex]9=9[/tex]
The statement case A is True
case B [tex]f(4)=0[/tex]
For [tex]x=4[/tex]
[tex]x > 0[/tex]
so
[tex]f(x)=x^{2}[/tex]
substitute the value of x
[tex]f(4)=4^{2}=16[/tex]
[tex]16\neq0[/tex]
The statement case B is False
case C [tex]f(2)=4[/tex]
For [tex]x=2[/tex]
[tex]x > 0[/tex]
so
[tex]f(x)=x^{2}[/tex]
substitute the value of x
[tex]f(2)=2^{2}=4[/tex]
[tex]4=4[/tex]
The statement case C is True
case D [tex]f(1)=-3[/tex]
For [tex]x=1[/tex]
[tex]x > 0[/tex]
so
[tex]f(x)=x^{2}[/tex]
substitute the value of x
[tex]f(1)=1^{2}=1[/tex]
[tex]1\neq-3[/tex]
The statement case D is False
