How do you graph
abs(y)=x
or abs(y)>= x
| y | ¡Ý x
If x = |y|, then you have the following function:
x = {
y, y>0
-y, y<0}
So your graph looks like y = x and y = -x graphed together, both with the domain [0, infinity)
To graph the equation |y| = x, we can start by understanding the absolute value function. The absolute value of a number is its distance from zero on a number line.
We will consider both positive and negative values of y and find their distances from zero, represented as |y|.
For positive values of y, the equation becomes: y = x. This means that the value of y is equal to the value of x.
Similarly, for negative values of y, the equation becomes: -y = x. To simplify further, we can multiply both sides by -1, giving y = -x.
Now, let's plot the points on a coordinate system:
For positive y values, we have (x, x). So, for x = 1, we have (1, 1), for x = 2, we have (2, 2), and so on. Connect these points to form a line.
For negative y values, we have (x, -x). So, for x = 1, we have (1, -1), for x = 2, (2, -2), and so on. Connect these points to form another line.
The resulting graph will consist of two lines: one passing through the origin with a positive slope (y = x), and another passing through the origin with a negative slope (y = -x).