Question

Given the linear equation y = 2x + 5 answer the following questions.3. Use the table function (in the upper right of your calculator) to evaluate the function when x = -2, when x=0, and x=5

Answer 1

Replace the given values of x into the equation to find the corresponding values of y.

`y=2x+5`
`\begin{gathered} x=-2 \\ \\ \Rightarrow y=2(-2)+5 \\ =-4+5 \\ =1 \\ \\ \therefore y=1 \end{gathered}`
`\begin{gathered} x=0 \\ \\ \Rightarrow y=2(0)+5 \\ =0+5 \\ =5 \\ \\ \therefore y=5 \end{gathered}`
`\begin{gathered} x=5 \\ \\ \Rightarrow y=2(5)+5 \\ =10+5 \\ =15 \\ \\ \therefore y=15 \end{gathered}`

Therefore, the values of y for the given values of x are:

`\begin{gathered} x=-2\Rightarrow y=1 \\ \\ x=0\Rightarrow y=5 \\ \\ x=5\Rightarrow y=15 \end{gathered}`