Question

find the value of $f(-7)$.
$y = f(x)$
answer attempt 1 out of 2

Explanation:

Step1: Identify left segment equation

First, find the equation of the left line segment. It passes through $(0,2)$ and $(2,0)$. The slope $m=\frac{0-2}{2-0}=-1$. Using slope-intercept form $y=mx+b$, $b=2$, so $y=-x+2$.

Step2: Substitute $x=-7$ into equation

Plug $x=-7$ into $y=-x+2$.
$y=-(-7)+2=7+2$

Answer:

9