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For the function [tex]f(x)=x+7[/tex], what is the ordered pair for the point on the graph where [tex]x=2b[/tex]?
A. [tex](2b, 2b+7)[/tex] B. [tex](2b, x+7)[/tex] C. [tex](x, x+7)[/tex] D. [tex](x, 2b+7)[/tex]
To determine the ordered pair for the point on the graph of the function \( f(x) = x + 7 \) where \( x = 2b \), we can follow these steps:
1. Identify the given function and the variable substitution: - The function is \( f(x) = x + 7 \). - We are given that the point of interest occurs where \( x = 2b \).
2. Substitute \( x \) with \( 2b \) in the function: - Replace \( x \) in the function \( f(x) \) with \( 2b \).
3. Calculate the corresponding \( y \)-value: - The function now becomes \( f(2b) = 2b + 7 \).
4. Form the ordered pair: - The ordered pair consists of the \( x \)-value and the corresponding \( y \)-value. - Since \( x = 2b \) and \( y = 2b + 7 \), the ordered pair is \( (2b, 2b + 7) \).
Therefore, the correct ordered pair for the point on the graph where [tex]\( x = 2b \)[/tex] is [tex]\( (2b, 2b + 7) \)[/tex].
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