Absolute Value Functions
The "Absolute" Best Function
General Information
Domain: (-∞, ∞)
Range: (-∞, ∞)
Intercept: (0,0)
Symmetry in Respect to: The y-axis
Increasing and Decreasing?
This graph increases from (0, ∞)
This graph decreases from (-∞,0 )
Minimum & Maximum?
- The relative and absolute minimum of the graph above is 0 at x = 0
- There is no maximum for this graph, the arrows symbolize infinite numbers
Location: No-Maximum Avenue
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Twitter: @minimum_only
Odd or Even...?
Examples:
y = |x - 3|
The -3 moves the graph right 3
y = -|x - 3|
The graph is presented as a negative, so the graph flips over the x-axis, and still moves right 3
y = |x| + 2
The 2 is not a part of the |x|, so it moves the graph up 2, rather than left 2.