\( f(x)=2 x-1 \) is the same as \( y=2 x-1 \) \( \square \) TRUE \( \square \) FALSE

Absolutely TRUE! The equation \( f(x) = 2x - 1 \) simply expresses the same linear function as \( y = 2x - 1 \). In this case, \( f(x) \) is just another way to denote the output of the function for input \( x \), which is exactly what \( y \) represents in a typical equation. So, you can think of \( f(x) \) and \( y \) as two peas in a pod, both describing the same line on a graph! If you're visualizing this on a graph, you'll notice that the line described by both equations has a slope of 2 and a y-intercept at -1. This means that for every increase of 1 in \( x \), \( y \) or \( f(x) \) will increase by 2. So, not only are the algebraic methods the same, but their portrayals as lines in a coordinate plane are analogous too!