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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

In the piece-wise function graphed below, which is the correct equation for when − 2 ≤ x-example-1
User Jtomasrl
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8.3k points

1 Answer

2 votes

Answer:


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

User Kbrown
by
8.2k points

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