Answer:
The table will be:
x |-2 | -1 | 0 | 1 | 2
y | 1 | 4 | 5 | 4 | 2
Step-by-step explanation:
The function is:
[tex]y=5-x^{2}[/tex]
a) The x values of the table is:
x |-2 | -1 | 0 | 1 | 2
So, when x = -2, y will be:
[tex]y(-2)=5-(-2)^{2}=5-4=1[/tex]
Doing the same with the other x values we have:
[tex]y(-1)=5-(-1)^{2}=5-1=4[/tex]
[tex]y(0)=5-(0)^{2}=5[/tex]
[tex]y(1)=5-(1)^{2}=5-1=4[/tex]
[tex]y(2)=5-(2)^{2}=5-4=1[/tex]
The table will be:
x |-2 | -1 | 0 | 1 | 2
y | 1 | 4 | 5 | 4 | 1
I hope it helps you!
