Here is the graph of f (x) = | x|: f (x) = | x| The graph looks like a "V", with its vertex at (0 The graph may or may not intersect the horizontal axis, depending on how the graph has been shifted and reflected. Graphing absolute value functions. Practice: Scale & reflect absolute value graphs. Over which interval is the graph of the parent absolute value function decreasing? The absolute value function is commonly used to measure distances between points. y - k = |x - h| Step 3 : To get the vertex of the absolute value function above, equate (x - h) and (y - k) to zero, Piecewise functions. Applied problems, such as ranges of possible values, can also be solved using the absolute value function. Scaling & reflecting absolute value functions: graph. When we look at the above graph, clearly the vertex is (0, 0) Step 2 : Write the given absolute value function as . Practice: Graph absolute value functions. View Graphing_Absolute_Value_Functions_1-12.pdf from MATH 5310 at East Tennessee State University. Here you will find hundreds of lessons, a community of teachers for support, and materials that are always up to date with the latest standards. Graphing the Absolute Value Function The graph of the absolute value function f (x) = | x| is similar to the graph of f (x) = x except that the "negative" half of the graph is reflected over the x-axis. The graph of the absolute value function resembles a letter V. It has a corner point at which the graph changes direction. The graph of an absolute value function will intersect the vertical axis when the input is zero. This is the currently selected item. Which absolute value function has a graph that is wider than the parent function, f(x) = |x|, and is translated to the right 2 units? To gain access to our editable content Join the Algebra 2 Teacher Community! No, they do not always intersect the horizontal axis. No, they do not always intersect the horizontal axis. Given an absolute value function, the student will analyze the effect on the graph when f(x) is replaced by af(x), f(bx), f(x – c), and f(x) + d for specific positive and negative real values. (-∞, ∞) (-∞, 0) (-6, 0) (0, ∞) Absolute Value Functions and Graphs - Word Docs & PowerPoints. Algebra 1 Name_ ID: 1 Absolute Value Functions Date_ Period_ Identify the … Next lesson. Free absolute value equation calculator - solve absolute value equations with all the steps. Type in any equation to get the solution, steps and graph This website uses cookies to … The graph of an absolute value function will intersect the vertical axis when the input is zero. The graph may or may not intersect the horizontal axis, depending on how the graph has been shifted and reflected. The process of graphing absolute value equations can be reduced to some specific steps which help develop any kind of absolute value graph. Absolute value graphs review. 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