SOLUTION: Is this answer true or false? The graph of y = |x|always has a slpoe of 1?

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Question 117458: Is this answer true or false?
The graph of y = |x|always has a slpoe of 1?

Found 2 solutions by Fombitz, bucky:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
False.
When x%3C0 then abs%28x%29=-x and it has a slope of (-1).


Answer by bucky(2189) About Me  (Show Source):
You can put this solution on YOUR website!
The answer is false. The graph of y+=+abs%28x%29 is shaped like the letter "V" as shown by this graph.
.
graph+%28400%2C400%2C-20%2C+20%2C+-5%2C+25%2C+abs%28x%29%29
.
On the left side of the y-axis the slope of the graph is -1 ... a negative slope because the graph is
going down as you go to the right along the x-axis.
.
You need to convince yourself that the graph shown above is the graph of the absolute value
of x. Do this by selecting negative values and positive values of x and seeing if they give
you values of y that match the graph.
.
Hope this helps you to understand the problem and how to view it so you can come up with the
answer to the question ... and to recognize that the answer is false.
.