Given the function:
[tex]y=-\frac{2}{3}x+7[/tex]
Domain: {-12, -6, 3, 15}
The domian is all set of input(x) values.
To complete the table let's solve for the range using all domain values.
All you have to do is to input the value of the domain for x in the function to tha the values of the range
Thus, we have:
When x = -12:
[tex]\begin{gathered} y=-\frac{2}{3}(-12)+7 \\ \\ y=\frac{24}{3}+7 \\ \\ y\text{ = 8 + 7 = 15} \end{gathered}[/tex]
When x = -6
[tex]\begin{gathered} y=-\frac{2}{3}(-6)\text{ + 7} \\ \\ y=\frac{12}{3}+7 \\ \\ y\text{ = 4+7=11} \end{gathered}[/tex]
When x = 3
[tex]\begin{gathered} y=-\frac{2}{3}(3)+7 \\ \\ y=-\frac{6}{3}+7 \\ \\ y\text{ =-2+7=5} \end{gathered}[/tex]
When x = 15:
[tex]\begin{gathered} y=-\frac{2}{3}(15)+7 \\ \\ y=-\frac{30}{3}+\text{ 7} \\ \\ y\text{ = -10+7} \\ \\ y\text{ = -3} \end{gathered}[/tex]
ANSWER:
Therefore, the complete table will be:
