Answer (numbers needed in boxes, going from top to bottom):
1
-1
-3
3
Step-by-step explanation:
f(x) is another way of saying y. So, the table is asking, "when substituting these x values for the x's in the function, what does y equal?" So, to answer the question, substitute each x value into the equation and solve.
1) Start with the x value of 1. Substitute 1 for x in y = 2x - 1 and solve:
[tex]y = 2(1)-1\\y = 2 - 1\\y = 1\\[/tex]
So, when x equals 1, y equals 1. Therefore, the first box on the top must be filled out with the number 1.
2) Do the same with the rest of the x values. Here are the steps to solve each one, going in order from the top towards the bottom:
x = 0
[tex]y = 2(0) - 1\\y = 0 - 1\\y = -1[/tex]
x = -1
[tex]y = 2(-1) - 1\\y = -2 -1 \\y = -3\\[/tex]
x = 2
[tex]y = 2(2)-1\\y = 4-1\\y = 3\\[/tex]
