INFORMATION:
We have the next table
And the function
[tex]y=x^4-3x^2-2[/tex]
And we must complete the table to confirm the answer obtained in part A
STEP BY STEP EXPLANATION:
We must replace the values for x in the function to complete the table:
- x = -20
[tex](-20)^4-3(-20)^2-2=158798[/tex]
- x = -18
[tex](-18)^4-3(-18)^2-2=104002[/tex]
- x = -16
[tex](-16)^4-3(-16)^2-2=64766[/tex]
- x = -14
[tex](-14)^4-3(-14)^2-2=37826[/tex]
- x = -12
[tex](-12)^4-3(-12)^2-2=20302[/tex]
- x = 12
[tex](12)^4-3(12)^2-2=20302[/tex]
- x = 14
[tex](14)^4-3(14)^2-2=37826[/tex]
- x = 16
[tex](16)^4-3(16)^2-2=64766[/tex]
- x = 18
[tex](18)^4-3(18)^2-2=104002[/tex]
- x = 20
[tex](20)^4-3(20)^2-2=158798[/tex]
Finally, we can see that when x approaches to -∞ and ∞, the function approaches to ∞. So, we can confirm the part A.
ANSWER:
