Question

Graph the given functions F and G in the same rectangular coordinate system. (Using graph)I have to find multiple coordinates For each function to make a separate line for both and then graph itThe first step begins with making a table for the coordinates for each functionF(x)= -2xG(x) -2x-4

Answer 1

First equation

To graph the function, we make a table of values. We choose a few x-values and replace them into the equation to find the corresponding y-values of the ordered pairs through which the function passes.

Then, if we choose the values x = 1, x = 3, and x = 5, we have:

`\begin{gathered} f(x)=-2x \\ f(1)=-2\cdot1 \\ f(1)=-2 \end{gathered}`
`\begin{gathered} f(x)=-2x \\ f(3)=-2\cdot3 \\ f(3)=-6 \end{gathered}`
`\begin{gathered} f(x)=-2x \\ f(5)=-2\cdot5 \\ f(5)=-10 \end{gathered}`

Now, we plot and join the above points:

Second function

We repeat the previous steps. If we choose the values x = 0, x = -2, and x = -3, we have:

`\begin{gathered} g(x)=-2x-4 \\ g(0)=-2\cdot0-4 \\ g(0)=0-4 \\ g(0)=-4 \end{gathered}`
`\begin{gathered} g(x)=-2x-4 \\ g(-2)=-2\cdot-2-4 \\ g(-2)=4-4 \\ g(-2)=0 \end{gathered}`
`\begin{gathered} g(x)=-2x-4 \\ g(-3)=-2\cdot-3-4 \\ g(-3)=6-4 \\ g(-3)=2 \end{gathered}`

Now, we plot and join the above points:

Therefore, the graph of the given functions in the same rectangular coordinate system is: