SOLUTION: how would i graph: y=[-3x+5] [ and ] meaning absolute value??????

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Question 96870This question is from textbook
: how would i graph:
y=[-3x+5]
[ and ] meaning absolute value?????? This question is from textbook

Found 2 solutions by stanbon, jim_thompson5910:
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
graph:
y=[-3x+5]
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To plot a few points find the zero value for y:
-3x+5 = 0
x = 5/3
That give you the point (5/3,0)
Plot a few points to the right and the left to see the slope:
If x=2, y = 1
If x=3, y = 4
If x=1, y = 2
If x=0, y = 5
Plot those points and draw a line where you can:
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Cheers,
Stan H.

Answer by jim_thompson5910(35256) (Show Source):
You can put this solution on YOUR website!
Start with the given equation

Break up the absolute value equation into two parts. Remember becomes or

or

For the first equation, multiply both sides by -1 to make y positive

Distribute

So we now have these two equations

or

Now graph the two equations

Graph of (red) and (green)

Remember, an absolute value graph is in a "V" shape, so that means the graph is the left branch and is the right branch.

So just erase the portions of the graph below the intersection like this

Graph of