Question

the functions f(x) and g(x) are graphed.
at which points do the two graphs have the same y - value?
○ f(0) = g(0) and f(2) = g(2)
○ f(2) = g(0) and f(0) = g(4)
○ f(2) = g(0) and f(4) = g(2)
○ f(2) = g(4) and f(1) = g(1)

Explanation:

Step1: Identify f(x) values

• $f(0) = 4$, $f(2) = 0$, $f(4) = -4$

Step2: Identify g(x) values

• $g(0) = 4$, $g(2) = 0$, $g(4) = 4$

Step3: Match equal y-values

Compare pairs:

• $f(0)=4$ and $g(0)=4$, so $f(0)=g(0)$
• $f(2)=0$ and $g(2)=0$, so $f(2)=g(2)$

Verify other options to confirm no matches.

Answer:

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