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.

Given the graph of a function, determine its domain or range.

If a line has a positive slope, then it moves upwards as the line move left to right. Now, apply these same ideas to other types of graphs. If the graph is moving downward, then that is a …

Finding the positive or negative intervals of a function from its graph. Created by Sal Khan.

If you have a graph, this is very easy - look at the graph and see if the line for the function sits above or below the x-axis. If you don't have a graph, then you need to test 1 or 2 values.

All parts of the graph where your derivative is positive, your graph should be increasing, vice versa for negative derivatives. When it equals 0, the graph should be flat (extrema and …

So there's something interesting here, even though the derivative at X equals zero, is going to be equal to zero, we are still decreasing. And so the interval that we care about the interval over …

You don't know what the graph looks like because you aren't given it. You do, however, know what the derivative graph looks like, and looking at that alone lets you know where the graph is …

Let's say that we want to solve the inequality x squared plus 3x is greater than 10. We want to figure out all of the x's that would satisfy this inequality. I encourage you to pause this video …

About this unit A function is like a machine that takes an input and gives an output. Let's explore how we can graph, analyze, and create different types of functions. Unit guides are here! …