WRITING EXPRESSIONS WITHOUT ABSOLUTE VALUE SIGNS WORKSHEET

Using |a | = a if a ≥ 0 and –a if a < 0, write the following functions without modulus signs and hence graph each function :

Problem 1 :

y = |x – 2|

Solution

Problem 2 :

y = |x + 1|

Solution

Problem 3 :

y = - |x|

Solution

Problem 4 :

y = |x| + x

Solution

Problem 5 :

y = |x|/x

Solution

Problem 6 :

y = x - 2 |x|

Solution

Problem 7 :

y = |x| + |x – 2|

Solution

Problem 8 :

y = |x| - |x - 1|

Solution

Problem 9 :

y = |x² + 1|

Solution

Problem 10 :

y = |x² - 1|

Solution

Problem 11 :

y = |x² – 2x

Solution|

Problem 12 :

y = |x² + 3x + 2|

Solution

Answer Key

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9)	y = |x2 + 1| for all x.
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