which statement is true regarding the graphed functions?\no f(0) = g(0)\no f(-2) = g(-2)\no f(0) = g(-2)\no…

Explanation:

Step1: Find (f(0))

The value of (f(x)) at (x = 0) is the (y) - coordinate of the point where the graph of (y = f(x)) intersects the (y) - axis. For (y=f(x)) (the blue - line), when (x = 0), (y=- 2), so (f(0)=-2).

Step2: Find (g(0))

The value of (g(x)) at (x = 0) is the (y) - coordinate of the point where the graph of (y = g(x)) intersects the (y) - axis. For (y = g(x)) (the red - line), when (x = 0), (y=-1), so (g(0)=-1).

Step3: Find (f(-2))

For (y = f(x)), when (x=-2), (y = 2), so (f(-2)=2).

Step4: Find (g(-2))

For (y = g(x)), when (x=-2), (y=-2), so (g(-2)=-2).

Step5: Check each option

• Option 1: (f(0)=-2) and (g(0)=-1), so (f(0)\neq g(0)).
• Option 2: (f(-2)=2) and (g(-2)=-2), so (f(-2)\neq g(-2)).
• Option 3: (f(0)=-2) and (g(-2)=-2), so (f(0)=g(-2)).
• Option 4: (f(-2)=2) and (g(0)=-1), so (f(-2)\neq g(0)).

Answer:

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