Question

Graph the function for the given domain.-2x - 10y = 10 , D: (-5, 0, 5, 10)

Answer 1

In order to graph the function, we need first to find the coordinates of the points. To do so, we need to apply the values of x given in the domain and calculate the corresponding values of y. So we have that:

`\begin{gathered} x=-5\colon \\ -2\cdot(-5)-10y=10 \\ 10-10y=10 \\ -10y=0 \\ y=0 \\ \\ x=0\colon \\ -2\cdot(0)-10y=10 \\ -10y=10 \\ y=-1 \\ \\ x=5\colon \\ -2\cdot(5)-10y=10 \\ -10-10y=10 \\ -10y=20 \\ y=-2 \\ \\ x=10\colon \\ -2\cdot(10)-10y=10 \\ -20-10y=10 \\ -10y=30 \\ y=-3 \end{gathered}`

So the points are (-5, 0), (0, -1), (5, -2) and (10, -3).

Graphing these points, we have that: