Question

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

Explanation:

Step1: Find f(-2) and g(-2)

For $f(x)$ (downward line): at $x=-2$, $y=8$. For $g(x)$ (upward line): at $x=-2$, $y=-4$. $8
eq -4$, so $f(-2)
eq g(-2)$.

Step2: Find f(-2) and g(0)

$f(-2)=8$, $g(0)=0$. $8
eq 0$, so $f(-2)
eq g(0)$.

Step3: Find f(0) and g(-2)

$f(0)=2$, $g(-2)=-4$. $2
eq -4$, so $f(0)
eq g(-2)$.

Step4: Find f(0) and g(0)

$f(0)=2$, $g(0)=2$. $2=2$, so $f(0)=g(0)$.

Answer:

$f(0) = g(0)$