Domain And Range Horizontal Line

However if i just drew a straight horizontal line starting at the y axis and extending to the right to x 5 then you would say that the domain is between 0 and 5.

Domain and range horizontal line. Determine the domain and range of the given function. As y 1 is a horizontal line at y 1 vertically wise it takes only 1. We choose x instead of x because the range of an inverse function the values coming out is the same as the domain of the original function. In point of fact these points lie on the horizontal line y 5.

This particular line has a domain of negative infinity to positive infinity. The graph of the function does now pass the horizontal line test with a restricted domain. The range is how much the function takes y wise in the horizontal axis. So does the range.

Domain ℝ range 1 the domain is how much the function takes x wise in the horizontal axis. By the way the name for a set with only one element in it like the range set above is singleton. For the cubic function f x x 3 the domain is all real numbers because the horizontal extent of the graph is the whole real number line. The same applies to the vertical extent of the graph so the domain and range include all real numbers.

So there is now an inverse function which is f 1 x x. So the range could also be stated as the singleton of 5. The range of a non horizontal linear function is all real numbers no matter how flat the slope might look. This video is about domain and range horizontal line.

When you have a function where y equals a constant your graph is a truly horizontal line like the graph below of y 3. When y equals a constant like y 4 or y 19.