WRITING ABSOLUTE VALUE FUNCTIONS AS PIECEWISE FUNCTIONS WORKSHEET

For each of the functions, create a piecewise definition.

Problem 1 :

f(x) = |x - 1|

Solution

Problem 2 :

f(x) = |x + 2|

Solution

Problem 3 :

f(x) = |2x - 1|

Solution

Problem 4 :

f(x) = |5 - 2x|

Solution

Problem 5 :

f(x) = |1 - 3x|

Solution

Problem 6 :

f(x) = |2x + 1|

Solution

Problem 7 :

f(x) = x - |x|

Solution

Problem 8 :

f(x) = x + |x - 1|

Solution

Answer Key

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Create a piecewise definition for the given absolute value function.

Problem 1 :

f(x) = |x + 1|

Solution

Problem 2 :

f(x) = |x - 4|

Solution

Problem 3 :

f(x) = |4 - 5x|

Solution

Problem 4 :

f(x) = |3 - 2x|

Solution

Answer Key

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4)