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The function y=x is a straight line. The range is all real numbers.
y = 4(2x) is an exponential function. Domain: (-∞, ∞) Range: (0, ∞) Horizontal asymptote: x-axis or y = 0 The graph cuts the y-axis at (0, 4)
The diagram should be divided into to parts, the domain and the range. The domain is those things that you put into the possible function and the range is what comes out. Let's call a member of the domain x and of the range y. You can tell it is a function by tracing from each x to each y. If there is only one y for each x; there is only one arrow coming from each x, then it is function!
x = the domain y = the co-domain and range is the output or something e_e
The domain of y = x0.5 is [0,+Infinity]. There are no X and Y intercepts for this function.Not asked, but answered for completeness sake, the range is also [0,+Infinity]. That is why there are no intercepts.Taken one step further, if you include the domain [-Infinity,0) in your analysis, you must include the imaginary range (i0,iInfinity] in your result set.