Question

Graph the following relation. Use the graph to find the domain and range (in interval form) and indicate whether the graph is the graph of a function.y=1/2x-4Domain:Range:Is it a function? Yes or no pick the correct one

Answer 1

EXPLANATION :

From the problem, we have a linear function :

$y=\frac{1}{2}x-4$

We need 2 points to graph this function.

when x = 0 :

$\begin{gathered} y=\frac{1}{2}(0)-4 \\ y=-4 \end{gathered}$

when x = 2

$\begin{gathered} y=\frac{1}{2}(2)-4 \\ y=-3 \end{gathered}$

Plot the points (0, -4) and (2, -3)

Since the function is a continuous line, the domain and range are all real numbers.

Domain = (-∞, ∞)

Range = (-∞, ∞)

and since the graph is a line with a defined slope, this is a function