Question Find the values of $y$ for the given values of $x$ in the linear equation $y=x+1$ .

Studdy Solution

STEP 1

Assumptions1. The function is $y = x +1$ . We need to find the $y$ values corresponding to the given $x$ values in the table

STEP 2

The function $y = x +1$ tells us that for any given $x$ value, the corresponding $y$ value is obtained by adding1 to $x$ .

STEP 3

Let's start with the first $x$ value in the table, which is $-1$ . We substitute $x = -1$ into the function to find the corresponding $y$ value.
$y = -1 +1$

STEP 4

Calculate the $y$ value when $x = -1$ .
$y = -1 +1 =0$ So, when $x = -1$ , $y =0$ .

STEP 5

Next, let's find the $y$ value when $x =0$ . Substitute $x =0$ into the function.
$y =0 +1$

STEP 6

Calculate the $y$ value when $x =0$ .
$y =0 +1 =1$ So, when $x =0$ , $y =1$ .

STEP 7

Next, let's find the $y$ value when $x =1$ . Substitute $x =1$ into the function.
$y =1 +1$

STEP 8

Calculate the $y$ value when $x =1$ .
$y =1 +1 =2$ So, when $x =1$ , $y =2$ .

STEP 9

Finally, let's find the $y$ value when $x =2$ . Substitute $x =2$ into the function.
$y =2 +$

STEP 10

Calculate the $y$ value when $x =2$ .
$y =2 + =3$ So, when $x =2$ , $y =3$ .
The completed table is\begin{tabular}{|c|c|} \hline $x$ & $y$ \\ \hline- &0 \\ \hline0 & \\ \hline &2 \\ \hline2 &3 \\ \hline\end{tabular}

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Question Find the values of $y$ for the given values of $x$ in the linear equation $y=x+1$ .

Studdy Solution

STEP 1

Assumptions1. The function is $y = x +1$ . We need to find the $y$ values corresponding to the given $x$ values in the table

STEP 2

The function $y = x +1$ tells us that for any given $x$ value, the corresponding $y$ value is obtained by adding1 to $x$ .

STEP 3

Let's start with the first $x$ value in the table, which is $-1$ . We substitute $x = -1$ into the function to find the corresponding $y$ value.
$y = -1 +1$

STEP 4

Calculate the $y$ value when $x = -1$ .
$y = -1 +1 =0$ So, when $x = -1$ , $y =0$ .

STEP 5

Next, let's find the $y$ value when $x =0$ . Substitute $x =0$ into the function.
$y =0 +1$

STEP 6

Calculate the $y$ value when $x =0$ .
$y =0 +1 =1$ So, when $x =0$ , $y =1$ .

STEP 7

Next, let's find the $y$ value when $x =1$ . Substitute $x =1$ into the function.
$y =1 +1$

STEP 8

Calculate the $y$ value when $x =1$ .
$y =1 +1 =2$ So, when $x =1$ , $y =2$ .

STEP 9

Finally, let's find the $y$ value when $x =2$ . Substitute $x =2$ into the function.
$y =2 +$

STEP 10

Calculate the $y$ value when $x =2$ .
$y =2 + =3$ So, when $x =2$ , $y =3$ .
The completed table is\begin{tabular}{|c|c|} \hline $x$ & $y$ \\ \hline- &0 \\ \hline0 & \\ \hline &2 \\ \hline2 &3 \\ \hline\end{tabular}

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Question Find the values of yyy for the given values of xxx in the linear equation y=x+1y=x+1y=x+1.

Studdy Solution

STEP 1

Assumptions1. The function is y=x+1y = x +1y=x+1 . We need to find the yyy values corresponding to the given xxx values in the table

STEP 2

The function y=x+1y = x +1y=x+1 tells us that for any given xxx value, the corresponding yyy value is obtained by adding1 to xxx.

STEP 3

Let's start with the first xxx value in the table, which is −1-1−1. We substitute x=−1x = -1x=−1 into the function to find the corresponding yyy value.y=−1+1y = -1 +1y=−1+1

STEP 4

Calculate the yyy value when x=−1x = -1x=−1.y=−1+1=0y = -1 +1 =0y=−1+1=0So, when x=−1x = -1x=−1, y=0y =0y=0.

STEP 5

Next, let's find the yyy value when x=0x =0x=0. Substitute x=0x =0x=0 into the function.y=0+1y =0 +1y=0+1

STEP 6

Calculate the yyy value when x=0x =0x=0.y=0+1=1y =0 +1 =1y=0+1=1So, when x=0x =0x=0, y=1y =1y=1.

STEP 7

Next, let's find the yyy value when x=1x =1x=1. Substitute x=1x =1x=1 into the function.y=1+1y =1 +1y=1+1

STEP 8

Calculate the yyy value when x=1x =1x=1.y=1+1=2y =1 +1 =2y=1+1=2So, when x=1x =1x=1, y=2y =2y=2.

STEP 9

Finally, let's find the yyy value when x=2x =2x=2. Substitute x=2x =2x=2 into the function.y=2+y =2 +y=2+

STEP 10

Calculate the yyy value when x=2x =2x=2.y=2+=3y =2 + =3y=2+=3So, when x=2x =2x=2, y=3y =3y=3.The completed table is\begin{tabular}{|c|c|} \hlinexxx & yyy \\ \hline- &0 \\ \hline0 & \\ \hline &2 \\ \hline2 &3 \\ \hline\end{tabular}

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Question Find the values of $y$ for the given values of $x$ in the linear equation $y=x+1$ .

Assumptions1. The function is $y = x +1$ . We need to find the $y$ values corresponding to the given $x$ values in the table

The function $y = x +1$ tells us that for any given $x$ value, the corresponding $y$ value is obtained by adding1 to $x$ .

Let's start with the first $x$ value in the table, which is $-1$ . We substitute $x = -1$ into the function to find the corresponding $y$ value.
$y = -1 +1$

Calculate the $y$ value when $x = -1$ .
$y = -1 +1 =0$ So, when $x = -1$ , $y =0$ .

Next, let's find the $y$ value when $x =0$ . Substitute $x =0$ into the function.
$y =0 +1$

Calculate the $y$ value when $x =0$ .
$y =0 +1 =1$ So, when $x =0$ , $y =1$ .

Next, let's find the $y$ value when $x =1$ . Substitute $x =1$ into the function.
$y =1 +1$

Calculate the $y$ value when $x =1$ .
$y =1 +1 =2$ So, when $x =1$ , $y =2$ .

Finally, let's find the $y$ value when $x =2$ . Substitute $x =2$ into the function.
$y =2 +$

Calculate the $y$ value when $x =2$ .
$y =2 + =3$ So, when $x =2$ , $y =3$ .
The completed table is\begin{tabular}{|c|c|} \hline $x$ & $y$ \\ \hline- &0 \\ \hline0 & \\ \hline &2 \\ \hline2 &3 \\ \hline\end{tabular}