Solution
Given the question in the image, the following are the solution steps to answer the question.
STEP 1: Write the given function
[tex]y=x^4-3x^2-2[/tex]
STEP 2: Complete the table
x=-20
[tex]\begin{gathered} f(x)=\left(-20\right)^4-3\left(-20\right)^2-2 \\ f(x)=158798 \end{gathered}[/tex]
When x = -18
[tex]\begin{gathered} f(x)=\left(-18\right)^4-3\left(-18\right)^2-2 \\ f(x)=104002 \end{gathered}[/tex]
When x = -16
[tex]\begin{gathered} f(x)=\left(-16\right)^4-3\left(-16\right)^2-2 \\ f(x)=64766 \end{gathered}[/tex]
When x = -14
[tex]\begin{gathered} f(x)=\left(-14\right)^4-3\left(-14\right)^2-2 \\ f(x)=37826 \end{gathered}[/tex]
When x = -12
[tex]\begin{gathered} f(x)=\left(-12\right)^4-3\left(-12\right)^2-2 \\ f(x)=20302 \end{gathered}[/tex]
When x = 12
[tex]\begin{gathered} f(x)=12^4-3\cdot\:12^2-2 \\ f(x)=20302 \end{gathered}[/tex]
When x = 14
[tex]\begin{gathered} f(x)=14^4-3\cdot\:14^2-2 \\ f(x)=37826 \end{gathered}[/tex]
Using this same method, the other f(x) are:
[tex]\begin{gathered} x=16,f(x)=64766 \\ \\ x=18,f(x)=104002 \\ \\ x=20,f(x)=158798 \end{gathered}[/tex]
