QuestionFind the values of $y$ for the function $y=-2x$ when $x = -4, 0, 2, 4$ .

Studdy Solution

STEP 1

Assumptions1. The function is given as $y=-x$ . . We need to find the values of $y$ for the given $x$ values in the table.

STEP 2

The function $y=-2x$ tells us that for any given $x$ value, $y$ is equal to $-2$ times that $x$ value. So we can calculate $y$ for each $x$ value by multiplying $-2$ with the given $x$ value.

STEP 3

Let's start with the first row of the table where $x=-$ . Plug in $x=-$ into the function $y=-2x$ to calculate the corresponding $y$ value.
$y = -2 \times (-)$

STEP 4

Calculate the $y$ value for $x=-4$ .
$y = -2 \times (-4) =8$

STEP 5

Now, let's move to the third row of the table where $x=0$ . Plug in $x=0$ into the function $y=-2x$ to calculate the corresponding $y$ value.
$y = -2 \times0$

STEP 6

Calculate the $y$ value for $x=0$ .
$y = -2 \times0 =0$

STEP 7

Next, let's calculate the $y$ value for the fourth row where $x=2$ . Plug in $x=2$ into the function $y=-2x$ to calculate the corresponding $y$ value.
$y = -2 \times2$

STEP 8

Calculate the $y$ value for $x=2$ .
$y = -2 \times2 = -4$

STEP 9

Finally, let's calculate the $y$ value for the last row where $x=4$ . Plug in $x=4$ into the function $y=-2x$ to calculate the corresponding $y$ value.
$y = -2 \times4$

STEP 10

Calculate the $y$ value for $x=4$ .
$y = -2 \times4 = -8$ So, the completed schedule is\begin{tabular}{c|c} \hline $x$ & $y$ \\ \hline-4 &8 \\ -2 &0 \\ 0 &0 \\ 2 & -4 \\ 4 & -8\end{tabular}

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