Asked by Andrea
Sketch a graph of f(x)={0 if x<=-1
{-x-1 if -1<x<=1
{-1 if x>1
Please help ASAP I'm struggling with this question!!! :(
{-x-1 if -1<x<=1
{-1 if x>1
Please help ASAP I'm struggling with this question!!! :(
Answers
Answered by
Reiny
you will have 3 parts:
1. y = 0 for x≤ -1
so on the x-axis, you will have a line starting at (-1,0) going to the left on the x-axis
So draw a line going to the left with an arrow at the end going left
2. y = -x - 1 , between -1 and 1
so from (-1,0) to (1,-2) draw a solid line, showing (1,-2) as a solid point
3. y = -1 , for x > 1
starting at (1,-1) and drawing that point as an <b>open dot</b>, draw a solid horizontal line with an arrow going to the right.
Your graph will be discontinuous at x = 1
1. y = 0 for x≤ -1
so on the x-axis, you will have a line starting at (-1,0) going to the left on the x-axis
So draw a line going to the left with an arrow at the end going left
2. y = -x - 1 , between -1 and 1
so from (-1,0) to (1,-2) draw a solid line, showing (1,-2) as a solid point
3. y = -1 , for x > 1
starting at (1,-1) and drawing that point as an <b>open dot</b>, draw a solid horizontal line with an arrow going to the right.
Your graph will be discontinuous at x = 1
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