Use the Vertical Line Test to determine whether y is a funct

Use the Vertical Line Test to determine whether y is a function of x.

2x 5xy + y + 2 = 0

Yes, y is a function of x.

No, y is not a function of x.

Find the domain and range of the function. Use a graphing utility to verify your results. (Enter your answer using interval notation.)

f(x) =   

Domain:

Range:

Solution

Use the Vertical Line Test to determine whether y is a function of x.

2x 5xy + y + 2 = 0?

As we can see in graph representation,there is a vertical line placed across the plot of this relation, it intersects the graph only once for one value of x.The fact that each input value has exactly one output value . For each input (x-coordinate) on the graph, there will be exactly one output (y-coordinate) it mean yes y is a fuction of x.