SOLUTION: what does this look like plotted out on a graph? I want to grasp the knowledge but need to see it in front of me as an example. Thank you for your help.
y = |x| + 3
Algebra.Com
Question 153933: what does this look like plotted out on a graph? I want to grasp the knowledge but need to see it in front of me as an example. Thank you for your help.
y = |x| + 3
Found 3 solutions by stanbon, Fombitz, josmiceli:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Graph y = |x| + 3
----------------------
Cheers,
Stan H.
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Remember
Let's plot it.
Let's go from x=-5 to 5 in steps of 1.
.
.
.
.
.
.
.
.
.
The graph shows the V shape characteristic of absolute value functions.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Actually, the best way to understand it is not by staring
at a graph (you can do that later). The best way is just
to reason out what it should look like.
I'll do it in steps:
(1) The right side (therefore ) can never be negative
because neither of the two terms on the right can ever be negative.
means "make the sign of positive,
no matter what is.
--------------------------
(2) The right side can be equal to , but it can never
be less that , since will never subtract
anything from it
--------------------------
(3) I can get rid of the absolute value sign if I replace
the equation with 2 equations like this:
When is zero or negative the equation is
When is zero or positive the equation is
Suppose , then
This shows that is positive for +
and -
----------------------------
(4) Using the reasoning of these steps,
can be any value (there are no restrictions on
what you make it).
(5) To draw the graph, draw , but don't let
the line go below , then draw
and don't let the line go below
----------------------------
Hope that's not too confusing. There no easy way except to
apply a step-by-step reasoning that makes sense to you.
RELATED QUESTIONS
I am desperately trying to plot out this graph but cannot find what seems so easily... (answered by Alan3354)
(0,-7)(-4, 1)
what does this look like plotted out on a graph? I've finally come up with (answered by stanbon)
#3
what does this look like in a graph after being plotted out?
First, set Y to 0 then... (answered by Alan3354)
USE THE GRAPH OF F(X)=EX TO OBTAIN THE GRAPH OF G(X)=-EX
QUESTION IS WHAT DOES THIS... (answered by solver91311)
I seem to have a problem understanding HOW to plot a graph. I'm willing to try but I'm... (answered by Alan3354)
i tryed graphing this but it didn't make sense to me. could u help me see what the graph... (answered by Alan3354)
I found this problem on the agebra.com website. I have a few problems like this but... (answered by sudhanshu_kmr)
Can anyone help me with this problem????
I need to see what the graph would look like... (answered by junior403)
I need to fence in an area in my back yard to create a kennel for my dog. I would like... (answered by josmiceli,Alan3354)