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We can use interval notation to show that a value falls between two endpoints. For example, -3≤x≤2, [-3,2], and {x∈ℝ|-3≤x≤2} all mean that x is between -3 and 2 and could be either endpoint.

So we say, so I'm gonna first talk about an open interval, and then we're gonna talk about a closed interval because a closed interval gets a little bit more involved.

Sal is writing the domain and range in what is called set builder notation. The curly brackets are used to denote that you have a set in either set builder notation or roster notation.

So we could write it like this. x has to be greater than or equal to negative 1, so that would be the lower bound on our interval, and it has to be less than 2 and 4/5. And notice, not less than or equal to. …

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The following graph shows a Riemann sum: Which of the following approximates the area between f (x) and the x -axis on the interval [0, 2] using a left Riemann sum with 6 equal subdivisions?

A piecewise function is a function built from pieces of different functions over different intervals. For example, we can make a piecewise function f (x) where f (x) = -9 when -9 < x ≤ -5, f (x) = 6 when -5 < …

Summation notation (or sigma notation) allows us to write a long sum in a single expression. While summation notation has many uses throughout math (and specifically calculus), we want to focus on …

The union, complement, and intersection of sets.