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Question Given \( f(x)=-3 x-2 \), find \( f(2) \) Answer Attempt 1 out of 2

Ask by Pena Stanley. in the United States
Feb 25,2025

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Answer

\( f(2) = -8 \)

Solution

To solve, substitute x = 2 into the function f(x):   f(2) = -3(2) - 2     = -6 - 2     = -8 Thus, f(2) = -8.

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To find \( f(2) \), simply substitute \( x \) with 2 in the function \( f(x) = -3x - 2 \). This gives us \( f(2) = -3(2) - 2 = -6 - 2 = -8 \). So, \( f(2) = -8 \). Fun fact: Linear functions like this one graph as straight lines. The slope is -3, indicating the line goes down as you move right. The y-intercept, at -2, is where the line crosses the y-axis! In real-world contexts, linear functions can represent many scenarios, such as calculating costs or distances at a constant rate. For example, if the function represented a car's fuel consumption, you could analyze how much fuel is used after driving for a certain number of hours or miles!

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