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Question: A function is described by the equation f(x) = x + 1. The replacement set for the independent variable is {1, 3, 5, 7}. Which of the following is not contained in the corresponding set for the dependent variable?


A ) 6
B ) 10
C ) 8
D ) 4

Steps to derive

1 Independent variable is the input and the dependent variable is the output of the function.

2 Substitute the values of x and find the corresponding values of f(x).

3 For x = 1, f(1) = 1 + 1 = 2
 [Substitute x = 1 in f(x) = x + 1.]

4 For x = 3, f(3) = 3 + 1 = 4
 [Substitute x = 3 in f(x) = x + 1.]

5 For x = 5, f(5) = 5 + 1 = 6
 [Substitute x = 5 in f(x) = x + 1.]

6 For x = 7, f(7) = 7 + 1 = 8
 [Substitute x = 7 in f(x) = x + 1.]

7 The set for the dependent variable is {2, 4, 6, 8}.

8 Among the choices, the value 10 is not in the dependent variable set.



Hence the right answer is Option B

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