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

Explanation:

Step1: Find f(0)

The value of f(x) at x = 0. From the graph, when x = 0, the blue - line (y = f(x)) intersects the y - axis at y=- 2, so f(0)=-2.

Step2: Find g(0)

The value of g(x) at x = 0. From the graph, when x = 0, the red - line (y = g(x)) intersects the y - axis at y=-1, so g(0)=-1.

Step3: Find f(-2)

The value of f(x) at x=-2. From the graph, when x=-2, the blue - line (y = f(x)) intersects at y = 2, so f(-2)=2.

Step4: Find g(-2)

The value of g(x) at x=-2. From the graph, when x=-2, the red - line (y = g(x)) intersects at y=-2, so g(-2)=-2.

Step5: Check each option

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

Answer:

f(0)=g(-2)