Absolute value
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Absolute Value with Linear Functions - Activity A
Compare the graph of a linear function, the graph of an absolute‑value function, and the graphs of their translations. Vary … the coefficients and constants in the functions and investigate how the graphs change in response.
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Absolute Value with Linear Functions - Activity B
Explore and compare the graphs of y = |f(x)| and y = f(|x|). By comparing the graphs of these functions to the graph … of y = f(x), you will see how absolute value can affect the input and output values of linear functions.
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Inequalities Involving Absolute Values
Solve an inequality involving absolute values using a graph of the absolute-value function. Vary the terms of the … absolute-value function and vary the value that you are comparing it to. Then explore how the graph and solution set change in response.
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Translating and Scaling Functions
Vary the coefficients in the equation of a function and examine how the graph of the function is translated or scaled. Select … different functions to translate and scale, and determine what they have in common.
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Quadratic and Absolute Value Functions
Compare the graph of a quadratic or absolute‑value function to its equations. Vary the coefficients of the equation and explore how … the graph changes in response.
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Absolute Value of a Complex Number
Manipulate a complex number, z = a + bi, and examine its absolute value.
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Absolute Value with Linear Functions - Activity C
Explore and compare the graphs of y = f(x), y = f(|x|), y = |f(x)|, and y = |f(|x|)|.
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Absolute Value of a Quadratic Function
Explore and compare the graphs of y = f(x), y = f(|x|), y = |f(x)|, and y = |f(|x|)|.
