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Advanced AlgebraName CHAPTER 4 HOMEWORK TRANSFORMATIONS OF FUNCTIONSPeriod Date Rewrite Absolute Value Functions as Piece wise Functions Graph each absolute value function, then rewrite it as a PIECES
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How to fill out absolute value graph and

01
To fill out an absolute value graph, follow these steps:
02
Plot the vertex of the graph, which is the mid-point or turning point of the absolute value function.
03
Determine the direction of the graph by looking at the coefficient of the absolute value expression. If the coefficient is positive, the graph opens upwards, and if it is negative, the graph opens downwards.
04
Identify and plot the x-intercepts of the graph. To find the x-intercepts, set the absolute value expression equal to zero and solve for x.
05
Draw the V-shape of the graph symmetrically, making sure that the arms of the V touch the x-intercepts.
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Extend the arms of the V until they reach the y-axis or beyond to complete the graph.

Who needs absolute value graph and?

01
Absolute value graphs are useful for visualizing and understanding various mathematical concepts and real-life applications such as:
02
- Analyzing and interpreting piecewise functions.
03
- Solving and graphing absolute value equations and inequalities.
04
- Representing distances, magnitudes, and values that cannot be negative, such as time and temperature.
05
- Describing and comparing rates of change and transformations in a linear function.
06
- Modeling and solving problems involving absolute values, such as finding the minimum or maximum value of an equation.
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Absolute value graph is a graph that represents the distance of a number from zero on the number line.
Absolute value graph is typically taught in mathematics courses and can be used by anyone who needs to analyze data or equations involving absolute values.
To plot an absolute value graph, you can identify the vertex (minimum or maximum point) and plot points symmetrically on either side of the vertex.
The purpose of absolute value graph is to visualize and analyze data or equations that involve absolute values.
The information that must be reported on an absolute value graph includes the vertex, the x-intercepts, and other key points that help in analyzing the graph.
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