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  1. Given a graph , the notation ( )denotes the edges of . In fact, (·)and (·)functions allow to access “vertices” and “edges” of any object possessing them (e.g., paths). ∗Order of a graph is the number of vertices in it: | ( )|. ∗Size of a graph is the number of edges in it: | ( )|. ∗Simple undirected 2

  2. Graph an absolute value function. The most significant feature of the absolute value graph is the corner point at which the graph changes direction. This point is shown at the origin. Figure 3. Figure 4 is the graph of [latex]y=2\left|x - 3\right|+4 [/latex].

  3. To graph absolute value equations in our class (in vertex form), we first identify the vertex and plot it. Then we enter the vertex into a table and choose x values on either side of it. Then we choose one more x value. From there, we use our graphing patterns.

  4. Graph theory Eric Shen (Friday, August 28, 2020) • A vertex vis incident to an edge e(or vice versa) if vis an endpoint of e. • A graph is connected if there is a path between every pair of distinct vertices.

  5. We can graph any absolute value equation of the form y=k|x-a|+h by thinking about function transformations (horizontal shifts, vertical shifts, reflections, and scalings).

  6. Absolute Value Graph Practice - MathBitsNotebook (A2) Directions: Read carefully and choose the best answers. 1. Write the equation of a translation of the function f (x) = | x | that will move the function 4 units to the left and 7 units down. Choose: f (x) = | x - 7 | - 4. f (x) = | x - 7 | + 4. f (x) = | x + 4 | - 7.

  7. Discover how to graph an absolute value function with linear expression. Understand what a 'V' or inverted 'V' shape is and how to find the vertex for the best approximation.

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