What are Domain and Range?
Students are often confused about domain and range of a function. Let's consider the list of points: {(1, 2), (3, 5), (6, 1), (4, 9), (3, 3)}.
The domain is all the xvalues, and the range is all the yvalues.
Domain is: {1, 2, 6, 4, 3}
Range is: {2, 5, 1, 9, 3}
The domain is all the xvalues, and the range is all the yvalues.
Domain is: {1, 2, 6, 4, 3}
Range is: {2, 5, 1, 9, 3}
Problem:
Find the domain and range of the function

\[y = x^4 + 6\]

Solution:
This is just your typical polynomial. There are no denominators (so no divisionbyzero problems) and no radicals (so no squarerootofanegative problems). There are no problems with a polynomial. There are no values that you can't plug in for x. When you have a polynomial, the answer is always that the domain of "all x".
Domain: "all x".
For domain you have to find the value of y.
Domain: "all x".
For domain you have to find the value of y.