Answer: Yes, this is a function!
Step-by-step explanation: Here are the requirements for determining if a 2-variable equation is a function or not.
2.
Each input should correspond to only one output
. In our case, any value of x you put into this equation only gives one value of y. We can verify this graphically using a simple test called the
vertical line test.
To do this, graph the function with the x axis being the horizontal axis and the y axis being the vertical axis (this matters!) In our case, this will be a parabola opening upwards. The test says that if I can draw vertical lines through every part of the graph and each vertical line only crosses the graph once, the equation is a function. In our case, I can draw vertical lines through everywhere in a parabola and they will only cross once. This shows that we have a function!
Hope this helps!
Bye for now,
Iz