Question

Complete the function Table for each question Part A Part B

Answer 1

To fill up the right column, we just need to evaluate the values on the left column on the given function. To evaluate a value on a function, we just substitute the desired value for the variable in the function, and calculate. For the first function and the the first set of values, we have

`\begin{gathered} f(x)=(1)/(3)x+7 \\ f(1)=(1)/(3)\cdot1+7=(20)/(3) \\ f(-6)=(1)/(3)\cdot(-6)+7=5 \\ f(7)=(1)/(3)\cdot7+7=(28)/(3) \\ f(-2)=(1)/(3)\cdot(-2)+7=(19)/(3) \\ f(3)=(1)/(3)\cdot3+7=8 \end{gathered}`

This means that the values on the right column from top to bottom of the first part are

`(20)/(3),5,(28)/(3),(19)/(3),8`

Using the same process for the other table, we have

`\begin{gathered} f(x)=4x \\ f(6)=4\cdot6=24 \\ f(2)=4\cdot2=8 \\ f(7)=4\cdot7=28 \\ f(-4)=4\cdot(-4)=-16 \\ f(-9)=4\cdot(-9)=-36 \end{gathered}`

This means that the values on the right column from top to bottom of the second part are

`24,8,28,-16,-36`