Equation
Domain
X β₯ 2
Range
All Real Numbers
Domain refers to the set of all possible input values. In other words, all possible X values.
Range refers to the set of all possible output values. In other words, all possible Y values.
This graph is not a function, as it does not pass the vertical line test. When a vertical line is placed anywhere from the domain of 2 and beyond, the graph will touch two points on the same vertical line, as represented by the red line.
Another way to figure out the function of this graph is to look at the shape of it, which in this case, it’s a parabola. If the range of a parabola is All Real Numbers, then the graph will always be not a function.
Self-Assessment
In this example, I explained what the function of this graph is in two different ways. Both methods work great, but the vertical line test is more reliable.
I demonstrated my understanding by using mathematical terms such as domain and range, input and output values, function, and parabola.
I placed corresponding images next to the paragraph relevant to it, and highlighted key words throughout this assignment to share the information in a clear and organized way.
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