Question
Complete the input-output table for the function f(x) = (« - 2)? + 3 (4 points)
Answers
GPT 3.5
We can fill in the input-output table by substituting different values of x into the given function f(x) = (x - 2) + 3:
Input (x) | Output (f(x))
------------------------
x = -3 | f(-3) = (-3 - 2) + 3 = -2
x = -2 | f(-2) = (-2 - 2) + 3 = -1
x = -1 | f(-1) = (-1 - 2) + 3 = 0
x = 0 | f(0) = (0 - 2) + 3 = 1
x = 1 | f(1) = (1 - 2) + 3 = 2
x = 2 | f(2) = (2 - 2) + 3 = 3
x = 3 | f(3) = (3 - 2) + 3 = 4
The completed input-output table is as follows:
Input (x) | Output (f(x))
------------------------------
x = -3 | f(-3) = -2
x = -2 | f(-2) = -1
x = -1 | f(-1) = 0
x = 0 | f(0) = 1
x = 1 | f(1) = 2
x = 2 | f(2) = 3
x = 3 | f(3) = 4
Input (x) | Output (f(x))
------------------------
x = -3 | f(-3) = (-3 - 2) + 3 = -2
x = -2 | f(-2) = (-2 - 2) + 3 = -1
x = -1 | f(-1) = (-1 - 2) + 3 = 0
x = 0 | f(0) = (0 - 2) + 3 = 1
x = 1 | f(1) = (1 - 2) + 3 = 2
x = 2 | f(2) = (2 - 2) + 3 = 3
x = 3 | f(3) = (3 - 2) + 3 = 4
The completed input-output table is as follows:
Input (x) | Output (f(x))
------------------------------
x = -3 | f(-3) = -2
x = -2 | f(-2) = -1
x = -1 | f(-1) = 0
x = 0 | f(0) = 1
x = 1 | f(1) = 2
x = 2 | f(2) = 3
x = 3 | f(3) = 4