y=|x|
The equation y = |x| represents the absolute value function
The equation y = |x| represents the absolute value function. The absolute value of a number is the distance of that number from zero on the number line, regardless of its sign.
In this case, y is equal to the absolute value of x. So, for any given value of x, we can determine y by taking the absolute value of x.
When x is positive or zero (x ≥ 0), the absolute value of x is equal to x itself since the distance from x to 0 is x units.
For example, if x = 3, then y = |3| = 3.
When x is negative (x < 0), the absolute value of x is equal to the opposite of x since the distance from x to 0 is -x units. For example, if x = -4, then y = |-4| = 4. So, the graph of y = |x| would be a "V" shape, opening upward, with its vertex at the origin (0, 0). It consists of all points that are equidistant from 0 in both positive and negative directions on the coordinate plane. To summarize, the equation y = |x| represents the absolute value function, which gives the distance of the input value x from zero. When x is positive or zero, y is equal to x. When x is negative, y is equal to the opposite of x. The graph of this equation is a "V" shape opening upward.
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