Question

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

y=-2x+2

y=-1/2x+2

y=-2x+4

y=-1/2x+4

Answer 1

`y=-(1)/(2)x+2`

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)=-(1)/(2)`

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

`y=mx+b`

we have

`m=-(1)/(2)`

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

substitute

`y=-(1)/(2)x+2`