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

Answer Key


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, ∞)

domain-and-range-of-abs-fun-from-graph

Related Pages

Recent Articles

  1. Finding Range of Values Inequality Problems

    May 21, 24 08:51 PM

    Finding Range of Values Inequality Problems

    Read More

  2. Solving Two Step Inequality Word Problems

    May 21, 24 08:51 AM

    Solving Two Step Inequality Word Problems

    Read More

  3. Exponential Function Context and Data Modeling

    May 20, 24 10:45 PM

    Exponential Function Context and Data Modeling

    Read More