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
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EXPLANATION :
From the problem, we have a linear function :
[tex]y=\frac{1}{2}x-4[/tex]We need 2 points to graph this function.
when x = 0 :
[tex]\begin{gathered} y=\frac{1}{2}(0)-4 \\ y=-4 \end{gathered}[/tex]when x = 2
[tex]\begin{gathered} y=\frac{1}{2}(2)-4 \\ y=-3 \end{gathered}[/tex]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