turkey-yks 2024 Q7

turkey-yks · Other · yks-ayt Curve Sketching Limit Reading from Graph
In the rectangular coordinate plane, the graphs of linear functions $f$, $g$ and $h$ are shown in the figure.
Regarding these functions, the following equalities are given:
$$\begin{aligned} & f(x-5) = g(x) \\ & h(x) = -f(x) \end{aligned}$$
Which of the following orderings is correct for the values $f(0)$, $g(0)$ and $h(0)$?
A) $g(0) < f(0) < h(0)$ B) $f(0) < h(0) < g(0)$ C) $f(0) < g(0) < h(0)$ D) $g(0) < h(0) < f(0)$ E) $h(0) < g(0) < f(0)$
In the rectangular coordinate plane, the graphs of linear functions $f$, $g$ and $h$ are shown in the figure.

Regarding these functions, the following equalities are given:

$$\begin{aligned}
& f(x-5) = g(x) \\
& h(x) = -f(x)
\end{aligned}$$

Which of the following orderings is correct for the values $f(0)$, $g(0)$ and $h(0)$?

A) $g(0) < f(0) < h(0)$
B) $f(0) < h(0) < g(0)$
C) $f(0) < g(0) < h(0)$
D) $g(0) < h(0) < f(0)$
E) $h(0) < g(0) < f(0)$