The table of the function is;
x f(x)
1 8
2 5
3 0
4 1
5 2
What are the output values of the x-variables?
Given the piecewise functions;
9 - x², x < 3
f(x) = {
x - 3, x ≥ 3
For x = 1, since 1 is less than 3, we use the piece of the function under x<3
f(x) = 9 - x²
f(1) = 9 - (1)²
f(1) = 9 - 1
f(1) = 8
Hence, we have a point ( 1,8 )
For x = 2, since 2 is less than 3, we use the piece of the function under x<3
f(x) = 9 - x²
f(2) = 9 - (2)²
f(2) = 9 - 4
f(2) = 5
Hence, we have a point ( 2,5 )
For x = 3, since 3 is greater than or equal to 3, we use the piece of the function under x≥3
f(x) = x - 3
f(3) = (3) - 3
f(3) = 3 - 3
f(3) = 0
Hence, we have a point ( 3,0 )
For x = 4, since 4 is greater than 3, we use the piece of the function under x≥3
f(x) = x - 3
f(4) = (4) - 3
f(4) = 4 - 3
f(4) = 1
Hence, we have a point ( 4,1 )
For x = 5, since 5 is greater than 3, we use the piece of the function under x≥3
f(x) = x - 3
f(5) = (5) - 3
f(5) = 5 - 3
f(5) = 2
Hence, we have a point ( 3,2 )
Therefore, the table of the function is;
x f(x)
1 8
2 5
3 0
4 1
5 2
Learn more about piecewise functions here: https://brainly.com/question/12561612
#SPJ1
