Domain And Range Horizontal Line

When y equals a constant like y 4 or y 19.

Domain and range horizontal line. The range is how much the function takes y wise in the horizontal axis. 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. So does the range.

As y 1 is a horizontal line at y 1 vertically wise it takes only 1. Determine the domain and range of the given function. As y 1 is a horizontal line at y 1 horizontally wise it takes all real numbers from to therefore the domain is ℝ.

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. Another point to make is about the notation used to describe the domain and range. So the range could also be stated as the singleton of 5.

The graph of the function does now pass the horizontal line test with a restricted domain. So there is now an inverse function which is f 1 x x. The same applies to the vertical extent of the graph so the domain and range include all real numbers.

This particular line has a domain of negative infinity to positive infinity. 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. Domain ℝ range 1 the domain is how much the function takes x wise in the horizontal axis.

The range of a non horizontal linear function is all real numbers no matter how flat the slope might look. There s one notable exception. When you have a function where y equals a constant your graph is a truly horizontal line like the graph below of y 3.