Calculate the slope of the line between different points (using “rise over run“). You’re looking for the same rate of change between points. Be careful to graph your function after performing this step though, as some functions (like the absolute value function) might appear to have the...
Why would we want to calculate the limit for one side only instead of from both sides? Because for some points it isn’t possible to find intervals on both sides of the point. For example, at endpoints (the point where the function ends), we can only approach the point from one side...
Check out this Desmos graphic to see this interactively. I admit I often come to play with it when I need to refresh my understanding of the two products. It is crucial that you have a basic intuition about the dot and cross products if you are to follow the rest of this tutorial. I...
If we have a target score in mind, it helps to understand what you need to get that score on the actual test, and in the past, we could calculate fairly precisely how many questions you needed to get right in order to get a perfect score. Unfortunately, the new adaptive format makes ...
“Differentiable” means there is a slope that you can calculate. This slope will tell you something about therate of change: how fast or slow an event (like acceleration) is happening. The derivative must exist for every point in the domain, otherwise the function is not differentiable. This...
To find the absolute extreme values of a polynomial: Find all extreme values for the entirerange, Calculate the value of the polynomial at each of the extremes. Find the value of the polynomial at theendpointsof the range. The point at which the polynomial is largest is theabsolute maximum ...
Why would we want to calculate the limit for one side only instead of from both sides? Because for some points it isn’t possible to find intervals on both sides of the point. For example, at endpoints (the point where the function ends), we can only approach the point from one side...