How to find the limit of functions in calculus. Step by step examples, videos and short definitions in plain English. Calculus made clear!
Solving for limits of linear functions approaching values other than infinity. Example problem: Find the limit of y = 2x + 2 as x tends to 0. The limit for this function is 0 at x = 0, and ∞ for x=∞ Step 1: Set up an equation for the problem:Use the usual form for a lim...
While we all know that nothing will ever be as effective as engaging in problem based math learning in a face-to-face environment, this experience is a great opportunity for us to sharpen up our tech skills and think of ways that we might use them to enhance our lessons once we’re bac...
Using Sigma Notation for the Sum of a Series from Chapter 21 / Lesson 13 14K Sigma notation can be used to present the same information as the sum of a series in a standardized manner. Explore examples of Sigma notation, and discover the way that it reduces patterns to more convenient...
“‘I like computers. I hate coding’: a portrait of two teens’ experiences” by Paulina Haduong communicates the punchline in the title. This is a rich, qualitative study of students who love to use computers, but who hated their experiences with Hour of Code, with Scratch, and with ...
Using Desmos, how can we describe what the graph shows? Use transformations to sketch the graph of the function. y = -sin 2x Provide an equation in the form y = a \sin x + c to represent the following graph Graph f(x) = x on [-4 pi, 4 pi...
Mathematically, you find them by looking at thederivative. At an extreme point, where there is a direction change, the derivative of the function is zero. Note: thederivativeis the slope of thetangent line. In the above graph, the tangent line is horizontal, so it has a slope (derivative...
For example, let’s say you had the function f: x→ x2 and you wanted to transform (map) the number 2. You would insert it into the right hand part of the equation to get 22 = 4. Vector transformation works the same way.
Evaluate lim x to 1(the square root of (3 + f(x)). Find the point on the graph of the function that is closest to the given point: f(x) =\sqrt x, \ (2,0) Graph the following equation in a rectangular coordinate system. y = -1. Graph the following equation in a re...
Sketch the graph ofy=sin(π−c)forc=−π/4, 0, andπ/4. How does the value ofcaffect the graph? Function Transformation: Function transformations give us sets of mathematical operations we can perform on functions to shift or distort ...