Question

Question: Consider the domain (D) and rule of each function. Determine the range of the function. 1. D = {0, 1, 2, 3}; f(x) = 3x − 5 2. D = {−1, 0, 1}: f(x) = 1 − x2 3. D = { −2, −1, 0, 1}: f(x) = x2 + x − 2 4. D = {0, 1, 2, 3}; f(x) = 3 − 2x

Answer 1

For every function you need evaluate the function for every value in the domain D. And the collection of this values correspond to the range of the function.

1. $D = \{0,1,2,3 \}, R = \{f(0), f(1), f(2), f(3) \} = \{-5, -2, 1, 4 \}.$

2. $D = \{-1,0,1 \}; R= \{f(-1), f(0), f(1)\} = \{0, 1, 0 \} = \{0,1\}$

3. $D = \{-2,-1,0,1 \}; R = \{f(-2), f(-1), f(0), f(1) \} = \{0, -2, -2, 0 \} = \{-2,0\}$

4. $D = \{0,1,2,3 \}; R =\{f(0), f(1), f(2), f(3) \} = \{3, 1, -1, -3 \}$