there is no graph... but most chance it's all real numbers
A graph that shows a function with a domain of all real numbers less than -2 would display its values only for x-coordinates to the left of -2 on the x-axis. The graph should not include any points or lines that extend to the right of -2. Typically, this would be represented with an open circle at -2 to indicate that it is not included in the domain, while the rest of the graph would extend leftward indefinitely.
There is a similar question which was answered as graph of real numbers. It could also be a graph of the line y=0, or a graph of the x-axis.
11
The answer depends on the domain. If the domain is non-negative real numbers, then the range is the whole of the real numbers. If the domain is the whole of the real numbers (or the complex plane) , the range is the complex plane.
there is no graph... but most chance it's all real numbers
It is the set of values on the x-axis for which a y-value is defined. For a normal, unconstrained graph, it is likely to be the whole of the real numbers.
Given the function g(f(x)) = 2-x, you can find the domain as you would with any other function (i.e. it doesn't matter if it's composite). The output, however, has to be a real number. With this function, the domain is all real numbers. If you graph it, you see that the function is defined across the entire graph, wherever you choose to plot it.
the domain is all real numbers and the range is all real numbers the domain is all real numbers and the range is all real numbers
A graph that shows a function with a domain of all real numbers less than -2 would display its values only for x-coordinates to the left of -2 on the x-axis. The graph should not include any points or lines that extend to the right of -2. Typically, this would be represented with an open circle at -2 to indicate that it is not included in the domain, while the rest of the graph would extend leftward indefinitely.
There is a similar question which was answered as graph of real numbers. It could also be a graph of the line y=0, or a graph of the x-axis.
Domain of the logarithm function is the positive real numbers. Domain of exponential function is the real numbers.
11
False
The answer depends on the domain. If the domain is non-negative real numbers, then the range is the whole of the real numbers. If the domain is the whole of the real numbers (or the complex plane) , the range is the complex plane.
The domain of your function is the set of real numbers.
The domain is all real numbers, and the range is nonnegative real numbers (y ≥ 0).