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Graphing Absolute Value FunctionsSummary In this lesson, students explore the graphs of absolute value functions. They learn to use transformations to graph vertical shifts, horizontal shifts, reflections,
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How to fill out graphing absolute value functions

01
Start by understanding the equation of the absolute value function. It is typically in the form of |x| = y, where x represents the input value and y represents the output value.
02
Determine the vertex of the absolute value function. This can be done by setting the expression inside the absolute value bars equal to zero and solving for x.
03
Plot the vertex on the coordinate plane as a point.
04
Choose two additional x-values that are equidistant from the vertex, both to the left and right. Substitute these x-values into the absolute value equation to find the corresponding y-values.
05
Plot these points on the coordinate plane.
06
Draw a line passing through all the points to graph the absolute value function.

Who needs graphing absolute value functions?

01
Graphing absolute value functions is commonly needed in mathematics and physics. It is used to analyze relationships between variables that involve magnitude, such as distance, displacement, and modulus.

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Graphing absolute value functions involves plotting points on a coordinate plane to show the shape of the function.
Students studying algebra or calculus may be required to graph absolute value functions.
To fill out graphing absolute value functions, you would plot points that satisfy the function and connect them with a V-shaped line.
The purpose of graphing absolute value functions is to visually represent the relationship between the input and output values of the function.
On a graph of absolute value functions, the x and y coordinates of each point plotted must be reported.
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