which statement is true regarding the graphed functions?\n○ ( f(0)=2 ) and ( g(-2)=0 )\n○ ( f(0)=4 ) and (…

which statement is true regarding the graphed functions?\n○ ( f(0)=2 ) and ( g(-2)=0 )\n○ ( f(0)=4 ) and ( g(-2)=4 )\n○ ( f(2)=0 ) and ( g(-2)=0 )\n○ ( f(-2)=0 ) and ( g(-2)=0 )

which statement is true regarding the graphed functions?\n○ ( f(0)=2 ) and ( g(-2)=0 )\n○ ( f(0)=4 ) and ( g(-2)=4 )\n○ ( f(2)=0 ) and ( g(-2)=0 )\n○ ( f(-2)=0 ) and ( g(-2)=0 )

Answer

Explanation:

Step1: Find ( f(0) )

For ( f(x) ), when ( x = 0 ), look at the ( y )-value of the blue - colored function ( f(x) ). The point on ( f(x) ) with ( x = 0 ) has ( y=4 ), so ( f(0)=4 ).

Step2: Find ( g(-2) )

For ( g(x) ), when ( x=-2 ), look at the ( y )-value of the red - colored function ( g(x) ). The point on ( g(x) ) with ( x = - 2 ) has ( y = 4 ), so ( g(-2)=4 ).

Step3: Check other options

  • For ( f(0) = 2 ) and ( g(-2)=0 ): Incorrect as ( f(0)=4 ) and ( g(-2)=4 ).
  • For ( f(2)=0 ) and ( g(-2)=0 ): The ( y )-value of ( f(x) ) at ( x = 2 ) is ( 0 ), but ( g(-2)=4\neq0 ).
  • For ( f(-2)=0 ) and ( g(-2)=0 ): The ( y )-value of ( f(x) ) at ( x=-2 ) is not ( 0 ) (it is above ( y = 0 )), and ( g(-2)=4\neq0 ).

Answer:

( f(0) = 4 ) and ( g(-2) = 4 )