Question

which statement is true regarding the graphed functions? \\(\bigcirc\\) \\(f(0) = 2\\) and \\(g(-2) = 0\\) \\(\boldsymbol{\bigcirc}\\) \\(f(0) = 4\\) and \\(g(-2) = 4\\) \\(\bigcirc\\) \\(f(2) = 0\\) and \\(g(-2) = 0\\) \\(\bigcirc\\) \\(f(-2) = 0\\) and \\(g(-2) = 0\\)

Explanation:

1. Check the value of $f(x)$ at $x=0$: On the graph, the blue curve $f(x)$ intersects the y-axis (where $x=0$) at $y=4$, so $f(0)=4$.
2. Check the value of $g(x)$ at $x=-2$: On the graph, the red curve $g(x)$ passes through the point $(-2, 4)$, so $g(-2)=4$.
3. Verify other options:

• $f(0)=2$ is false, so the first option is wrong.
• $f(2)=0$ is false, so the third option is wrong.
• $f(-2)=0$ and $g(-2)=0$ are both false, so the fourth option is wrong.

Answer:

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