Answer: see answers below
Explanation:
F(x) is bascially the y
the absolute value means any numbers that you use for x when substituted into x-2 will always be a positive number even if x-2 is negative as with any number 3 or greater, or any number -3 or less.
for the values that are 0, 1, 2, 3, 4 or 0, -1, -2 the answer for f(x) will be a negative number. All other numbers positive or negative for x will result in a positive answer.
So you need to graph your line with an arrow on each end to show it goes to infinity. in your chart you choose a number for x, and the f(x) number (which is equivalent to the y number for purposes of graphing.
I cannot draw on her a graph for you because I don't have that ability without an app for that.
here are some sample points for your chart. THe first number in each parenthesis is x and the second is f(x)
(-1, -2), (-2, -1), (0, -3), (-3, 0), (1, -4), (2, -5), (3-4), (4,-3), (5-2), (6, -1) All other numbers positive or negative for x will result in f(x) being positive.
You only need two sets of points to put on the graph to draw the line through.
So negative values for f(x) can only be -1, -2, -3, -4, -5. x can include all negative numbers through infinity.
Positive will include all positive numbers through infinity for x and f(x).
F(x) cannot decrease beyond -5. x can decrease all numbers through infinity.