Question

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

Answer 1

Explanation

We are required to graph the function below and determine its domain and range.

`y=(1)/(2)x-4`

This is achieved thus:

We can graph the function by obtaining two coordinates as follows:

`\begin{gathered} y=(1)/(2)x-4 \\ \text{ Let x = 0} \\ y=(1)/(2)(0)-4 \\ y=0-4 \\ y=-4 \\ \text{ Point to plot:}(0,-4) \\ \\ y=(1)/(2)x-4 \\ \text{ Let x = 4} \\ y=(1)/(2)(4)-4 \\ y=2-4 \\ y=-2 \\ \text{ Point to plot:}(4,-2) \end{gathered}`

Therefore, the graph becomes:

The graph is a linear graph, hence, the domain and the range are all real numbers.

Hence. the answer is:

Domain: (- ∞, ∞)

Range: (- ∞, ∞)

Yes, it is a function.