the function f shown in the graph is an even function. the graph has been hidden for x ≥ 0. complete the…

Explanation:

Step1: Recall property of even - function

An even function has $f(x)=f( - x)$. We can use the visible part of the graph for $x<0$ to complete the parts for $x > 0$.

Step2: Analyze $0 < x<2$

Looking at the part of the graph for $x<0$ and using the even - function property, as $x$ increases from $0$ to $2$, the function values are increasing. So $f$ is increasing over the interval $0 < x<2$.

Step3: Find $f(2)$

From the graph for $x<0$, when $x=-2$, the $y$ - value is $2$. Since $f$ is even, $f(2)=f(-2) = 2$.

Step4: Analyze $2 < x<5$

Looking at the part of the graph for $x<0$ and using the even - function property, as $x$ increases from $2$ to $5$, the function values are decreasing. So $f$ is decreasing over the interval $2 < x<5$.

Answer:

1. increasing
2. $2$
3. decreasing