Answer :

We are given the following function

[tex]y=x^2-1[/tex]

1st Step: Calculate the (X, Y) values

For x = -3:

[tex]y=x^2-1=(-3)^2-1=9-1=8[/tex][tex](-3,8)[/tex]

For x = -2:

[tex]y=x^2-1=(-2)^2-1=4-1=3[/tex][tex](-2,3)[/tex]

For x = -1:

[tex]y=x^2-1=(-1)^2-1=1-1=0[/tex][tex](-1,0)[/tex]

For x = 0:

[tex]y=x^2-1=(0)^2-1=0-1=-1[/tex][tex](0,-1)[/tex]

For x = 1:

[tex]y=x^2-1=(1)^2-1=1-1=0[/tex][tex](1,0)[/tex]

For x = 2:

[tex]y=x^2-1=(-2)^2-1=4-1=3[/tex][tex](2,3)[/tex]

For x = 3:

[tex]y=x^2-1=(3)^2-1=9-1=8[/tex][tex](3,8)[/tex]

2nd Step: Construct a table of (X, Y) values

Therefore, we have now multiple (X, Y) points for the given function.

Bonus: Plot the given points

View image PhongW517718
View image PhongW517718