Question

Fill in the table using this function rule. y=2x-2

Answer 1

See explanation

Explanation:

Whatever x-values are given, substitute them into the function and solve for y.

If y-value is given substitute it into the function and solve for x.

If the table is like the one below;

`\begin{center}\begin{tabular} c x & y\\-1 & -4\\ 0 & -\\-&0\\ 2 & 2\end{tabular}\end{center}`

Then the corresponding y-value for x=0 is

`y=2(0)-2`

`\implies y=0-2=-2`

The corresponding x-value for y=0 is
`2x-2=0`

`\implies 2x=2`

`\implies x=1`

The complete table now looks like this

`\begin{center}\begin{tabular}c x & y\\-1 & -4\\ 0 & -2\\1&0\\ 2 & 2\end{tabular}\end{center}`