Answer:
Please check the explanation.
Step-by-step explanation:
Given the function
f(x) = (x-5)²+1
put x = 2
f(2) = (2-5)²+1 = (-3)²+1 = 9+1 = 10
put x = 3
f(3) = (3-5)²+1 = (-2)²+1 = 4+1 = 5
put x = 4
f(4) = (4-5)²+1 = (-1)²+1 = 1+1 = 2
put x = 5
f(5) = (5-5)²+1 = (0)²+1 = 0 + 1 = 1
put x = 6
f(5) = (6-5)²+1 = (1)²+1 = 1 + 1 = 2
Thus, the table wil be completed as:
x 2 3 4 5 6
f(x) 10 5 2 1 2
Please check the attached figure for the plotting graph.
