Let \( f(x)=7 x-4 \) What is \( f(6) ? \) A. 46 B. 48 C. 38 D. 42
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Extra Insights
To find \( f(6) \), simply substitute \( 6 \) for \( x \) in the function \( f(x) = 7x - 4 \). So, \[ f(6) = 7(6) - 4 = 42 - 4 = 38. \] Thus, the answer is C. 38. Now, let’s have some fun with this! Imagine if functions were like vending machines: you input a value (your coin), and you get an output (the snack!). In our example, putting in \( 6 \) gives you the satisfying output of 38—a perfectly balanced, nutritious snack! Additionally, when working with linear functions like this, it’s helpful to visualize the graph. A straight line is what you get, with a slope of 7 (rising steeply) that represents how quickly \( f(x) \) grows as \( x \) increases. Such visualizations can make understanding changes in the function much more intuitive!
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