# DOMAIN AND RANGE OF ABSOLUTE VALUE FUNCTION ALGEBRAICALLY WORKSHEET

Find the domain and range of each of the following functions. Express answers in interval notation.

Problem 1 :

f(t) = | t |

Solution

Problem 2 :

g(t) = | 9 - t |

Solution

Problem 3 :

h(t) = 9 - |t|

Solution

Problem 4 :

f(x) = | x |

Solution

Problem 5 :

g(x) = | x | + 1

Solution

Problem 6 :

h(x) = | x + 1|

Solution

Problem 7 :

f(x) = | x2 + 3 |

Solution

Problem 8 :

g(x) = | x2 + 3 | - 4

Solution

Problem 9 :

h(x) = 2| x2 + 3 | + 5

Solution

Problem 10 :

f(t) = | t2 + 6 |

Solution

Problem 11 :

g(t) = | t2 + 6 | + 7

Solution

Problem 12 :

h(t) = -1/3 |t2 + 6 | - 8

Solution

 1)2)3)4)5)6)7)8)9)10)11)12) Domain(-∞, ∞)(-∞, ∞)(-∞, ∞)(-∞, ∞)(-∞, ∞)(-∞, ∞)(-∞, ∞)(-∞, ∞)(-∞, ∞)(-∞, ∞)(-∞, ∞)(-∞, ∞) Range[0, ∞)[0, ∞)(-∞, 9] [0, ∞) [1, ∞)[0, ∞)[3, ∞)[-1, ∞)(8, ∞) (6, ∞)(13, ∞)(-2, ∞)

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