Question 80938: The problem I have--not from a text book--is this:
"Draw the graph of the linear function n(x) = 0"
On this one, I am totally lost. Other than understanding there is a "0" point on the y axis, I don't know what I am supposed to do. Help!
Answer by bucky(2189)   (Show Source):
You can put this solution on YOUR website! It helps to visualize this one if you replace n(x) with y to get:
.
y = 0
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Now think of it this way: since there is no x in the function, y is always zero regardless
of what value you assign to x. Is (-10, 0) a solution to this equation? Yes it is because
y equals zero. So is (0,0) a solution set because although x is zero, the critical part is
that y = 0 and that satisfies the equation. How about the point (50, 0)? Same thing.
.
If you plot all of these points, you begin to see that the graph of y = 0 (or its equivalent
n(x) = 0) is the x-axis, because the x-axis is the line of all points having a y value of zero.
.
Similarly, y = -3 is a horizontal line intersecting the y-axis at -3. No matter what value
you assign to x, the corresponding value of y must always be -3.
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Hope this is one way of looking at the problem that will help you to make some sense out
of it.
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