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Question: A function is described by the equation f(x) = 2x + 1. The replacement set for the independent variable is {0, 2, 3, 4}. Which of the following is contained in the corresponding set for the dependent variable?


A ) 9
B ) 2
C ) 3
D ) 15

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 = 0, f(0) = 2(0) + 1 = 1
 [Substitute x = 0 in f(x) = 2x + 1.]

4 For x = 2, f(2) = 2(2) + 1 = 5
 [Substitute x = 2 in f(x) = 2x + 1.]

5 For x = 3, f(3) = 2(3) + 1 = 7
 [Substitute x = 3 in f(x) = 2x + 1.]

6 For x = 4, f(4) = 2(4) + 1 = 9
 [Substitute x = 4 in f(x) = 2x + 1.]

7 The set for the dependent variable is {1, 5, 7, 9}.

8 Among the choices, the value 9 is in the dependent variable set.



Hence the right answer is Option A

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