What Is The Domain Using Interval Notation

D indicates that you are talking about the domain and read as negative infinity to positive infinity is another way of saying that the domain is all real numbers the range of f x x 2 in interval notation is.

What is the domain using interval notation. We use interval notation to represent subsets of real numbers. In interval notation we write. The domain is the set of all values of x for which the function is defined. Open parentheses closed parentheses infinity imagine an 8 sideways negative infinity an 8 sideways with a negative sign in front of it and union a symbol similar to an elongated u.

Therefore x 1 2 and x 3 or 3. I believe the domain is all real numbers but do not know what that would look like in interval notation. When using interval notation domain and range are written as intervals of values. Determine the domain and range.

On the horizontal number line that covers all numbers from left to right your x axis. In interval notation the domain is 1973 2008 and the range is about 180 2010. The domain of the expression is all real numbers except where the expression is undefined. Interval notation is a method used to write the domain and range of a function.

Find the domain of the function 5x 8x 2 9 in interval notation. Polynomials with odd degree highest power of x stretch their way from low to high through all real numbers in the vertical direction. X a x b is the set builder notation. Then the open interval a b represents the set of all real numbers between a and b except a and b.

In interval notation there are five basic symbols to be familiar with. The range is the set of all valid values. 1 2 3 3 upvote 0 downvote. Domain is the amount of x values on a line or whatnot.

So let s do domain first. For the domain and the range we approximate the smallest and largest values since they do not fall exactly on the grid lines. Suppose that a and b are real numbers such that a b. On the parabola the first x value is 8 and the last is 12 so we have to write this in interval notation which is 8 12.

For f x x 2 the domain in interval notation is. All polynomials have a domain of all real numbers. Now for range the lowest y value is 10 and the highest is 6 so in interval notation it is 10 6. 0 r indicates that you are talking about the range.

There is no real number that makes the expression undefined. So 6x 3 0 and x 2 9 0.