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Name: ___________________________________
Algebraically determine the following domains. Use correct set notation.

1.     d(y) = y + 3

2.     g(k) = 2k2 + 4k – 6

3.     b(n) =      2n − 8

4.     m(t ) = 9 − 3t
                 x−5
       u( x ) =
5.              2x + 4
                     1
       a(r) = r +
6.                 r −1
                   2
       y (c) = 2
7.              c + 3c
                 w+4
       q( w) = 2
8.              w +1



These contain combinations of functions.

                     x
        f ( x) =
9.                  x+3


10.    t ( v ) = v 2 + 2v − 8

                    t
       n (t ) =
11.                1+ t
                                     1
       x( y ) = y 4 + 2 y +     y+
12.                                  y

Range practice: Use your calculator to graph and determine the ranges of the functions
numbered 1-5.

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A2 Domain Homework

  • 1. Name: ___________________________________ Algebraically determine the following domains. Use correct set notation. 1. d(y) = y + 3 2. g(k) = 2k2 + 4k – 6 3. b(n) = 2n − 8 4. m(t ) = 9 − 3t x−5 u( x ) = 5. 2x + 4 1 a(r) = r + 6. r −1 2 y (c) = 2 7. c + 3c w+4 q( w) = 2 8. w +1 These contain combinations of functions. x f ( x) = 9. x+3 10. t ( v ) = v 2 + 2v − 8 t n (t ) = 11. 1+ t 1 x( y ) = y 4 + 2 y + y+ 12. y Range practice: Use your calculator to graph and determine the ranges of the functions numbered 1-5.