For a function f(x)=y :

The Domain is all the values x is allowed to be.

The Range is all the values y can be, considering all allowed x.

For example: f(x)=1/(x²) has a Domain of "x is not equal to 0" (since it would be undefined due to division by zero) and a Range of y > 0 since no value of x gives a negative or zero value from the function, but you can get any positive real number result you want.

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None of those require a calculator. Domain and range can be found by observing the function and it's inverse and finding out the points where it isn't defined. Exclude those points and you get the domain and range. Asymptotes are basically those points you excluded while finding the domain and range. x intercept is the point where y = 0 and y intercept is the point where x = 0. For any given question, all these barely takes 2-3 minutes with good practice. More on reddit.com

Depends on the function More on amp.reddit.com