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

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

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

Answer

Answer:

D. ( f(-2) = 0 ) and ( g(-2) = 0 )

Explanation:

Step1: Check ( f(0) )

The red curve ( f(x) ) intersects the y-axis (x=0) at y=4, so ( f(0)=4 ).

Step2: Check ( f(2) )

The red curve ( f(x) ) intersects x=2 at y=0, so ( f(2)=0 ).

Step3: Check ( f(-2) )

The red curve ( f(x) ) intersects x=-2 at y=0, so ( f(-2)=0 ).

Step4: Check ( g(-2) )

The blue curve ( g(x) ) intersects x=-2 at y=0, so ( g(-2)=0 ).

Step5: Verify options

Only option D matches the checked values.