How do I solve f(x) = 4/7x  √(2) I need to make a representation table of f for x = 3, 3, 1,....,3 Then graph f in the window [6,6,1] by [4,4,1]
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Hi, tricia,
For this problem, for the table, it could look something like. . .
x  f(x)




Then, you would put the numbers for x you were given, like, 3, 1, 0, 1, 3, or whatever other numbers there were.
Then, to calculate f(x), you would plug into your calculate, for instance, for x = 3 in f(x), you would press into the calculator (depending upon brand of calculator) “(4/7)(3)√2”. Then, press the equal sign. You should get something like “3.128499. . .”, probably round to 3.13. Then, for x = 1, you would have “(4/7)(1)√2”. You should get something like 1.99. You would put these answers across from each other in the columns. So, for instance, x = 3, f(x) = 3.13; x = 1, f(x) = 1.99, and so on.
To graph it in a window, I assume you mean a TI83 graphing calculator. You would press the “window” button. Then, starting at the top, Xmin, you would put 6. For Xmax, you put 6. Then, Xscl = 1. Then, for the Y’s. Ymin = 4, Ymax = 4, Yscl = 1. Then, you would press “Y=”. You will see Y1=, Y2=, Y3=, etc., going down the left side. Clear any equations out anywhere. Put “(4/7)x√2” into the same for “Y1=”. Then, press “Graph”. You should get a straight line that looks like:
I hope this helps, tricia. One thing, be careful, make sure you use the subtraction and negative sign appropriately.
Till Then,
Steve