1. For the function \( f(x)=3 x-5 \), what is the output when the input is \( x=4 \) ? \( f(x)=7 \) \( f(x)=-5 \) \( f(x)=-3 \) \( f(x)=3 \)

To find the output of the function \( f(x) = 3x - 5 \) when the input is \( x = 4 \), you simply substitute 4 into the function. So, \( f(4) = 3(4) - 5 = 12 - 5 = 7 \). Therefore, the correct output is \( f(x) = 7 \)! Now, isn't it interesting how linear functions like this one produce a straight line when graphed? The slope of 3 means that for every increase of 1 in \( x \), \( f(x) \) increases by 3. If you were to plot several points, you'd have a clear view of this relationship! When working with linear functions, a common mistake is forgetting the order of operations—especially the subtraction part! Make sure to perform multiplication before subtraction to avoid that pesky error. Always double-check your calculations to ensure you arrive at the right answer!