Question

In the piece-wise function graphed below, which is the correct equation for when − 2 ≤ x ≤ 2

Answer 1

Answer:

$y=-\frac{1}{2}x+2$

Step-by-step explanation:

Looking at the graph

For x=-2 ---> f(x)=3

For x=2 ---> f(x)=1  

so

we have the points

(-2,3) and (2,1)

Find the slope

$m=(1-3)/(2+2)=-\frac{1}{2}$

The equation of the line in slope-intercept form is equal to

$y=mx+b$

we have

$m=-\frac{1}{2}$

$b=2$ ---> see the graph

substitute

$y=-\frac{1}{2}x+2$