Absolute value Graphs civicpride-kusatsu.net Topical synopsis | Algebra 2 overview | MathBits" Teacher sources Terms of Use contact Person: Donna Roberts

 We recognize that the absolute worth of a number is always positive (or zero).You are watching: Which describes the range of the parent absolute value function? We deserve to see this same an outcome reflected in the graph of the absolute value parent function y = | x |. All of the graph"s y-values will be positive (or zero). The graph that the absolute worth parent role is written of two direct "pieces" joined with each other at a common vertex (the origin). The graph of such absolute value functions generally bring away the form of a V, or one up-side-down V. An alert that the graph is symmetric about the y-axis.See more: What Kind Of Mattress Does Holiday Inn Use, Holiday Inn Simmons Beautyrest Hotel Mattress Linear "pieces" will appear in the equation the the pure value role in the complying with manner: y = | mx + b | + c where the vertex is (-b/m, c) and also the axis of the contrary is x = -b/m. note that the steep of the straight "pieces" space +1 on the ideal side and also -1 ~ above the left side. Psychic that when lines room perpendicular (form a ideal angle) your slopes are negative reciprocals.

The pure value role is among the most well-known piecewise identified functions.

attributes (of parent function): Domain: All Reals (-∞,∞) unless domain is altered. • Range: <0,∞) increasing (0, ∞) • decreasing (-∞,0)

• confident (-∞, 0) U (0, -∞)

• absolute/relative min is 0 • no pure max (graph → ∞)

x-intercept: intersects x-axis at (0, 0) unless transformed

y-intercept: intersects y-axis in ~ (0, 0) unless changed

Vertex: the suggest (0,0) unless changed

Table: Y1: y = | x |