how do you make a table of values for step functions(also known as integer functions)?
thank you very much
2007-09-18 16:30:14 · 6 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
do you mean greatest integer function...
f(x) =[[x]] = n . n is the greatest integer less than or equal to x.
...
-1 ≤ x < 0 ... f(x) = -1
0 ≤ x < 1 ... f(x) = 0
1 ≤ x < 2 ... f(x) = 1
2 ≤ x < 3 ... f(x) = 2
3 ≤ x < 4 ... f(x) = 3
4 ≤ x < 5 ... f(x) = 4
... and so on ... §
2007-09-18 16:39:42 · answer #1 · answered by Alam Ko Iyan 7 · 0⤊ 0⤋
Make a table of values for the independent variable of your function followed by the value of the function. Suppose your function was x²-2. The your table would look like
0, -2
1, -1
2, 2
3, 7
4, 14
and so on.
Doug
2007-09-18 23:38:02 · answer #2 · answered by doug_donaghue 7 · 0⤊ 0⤋
For a greatest integer function, you can still pick any value you want for x, but the function will always return an integral value.
So for y = [x], if you choose the following values: -1, -0.5, 0, .5, 1, 1.5, you will get the following points:
(-1,-1), (-.5, -1), (0,0), (.5,0), (1,1), (1.5,1)
y will always return the value of the GREATEST integer that's NOT GREATER than x, or y <= x
2007-09-18 23:38:02 · answer #3 · answered by ccw 4 · 0⤊ 0⤋
take a two sided (looks like a very long "T") table, x on one side y on the other. put 1 on the x side, and calculate for 1, put the answer on the Y side. and do the same for 2, and three, and 4, or mabye 0, -1, -2. its just sort of a chart of what x made what y value.
2007-09-18 23:37:06 · answer #4 · answered by MrPlow_Springfield 2 · 0⤊ 0⤋
whats the function?
2007-09-18 23:35:24 · answer #5 · answered by Purple Burps 1 · 0⤊ 0⤋
try to substitute any value for x and solve for the corresponding value of y
2007-09-18 23:49:21 · answer #6 · answered by gEL 2 · 0⤊ 1⤋