New ReviewIn this video we are going work on graphing a rational expression with 4 vertical asymptotes.

New ReviewIn this video we are going to explore how to find the vertical, horizontal and slant asymptotes of Rational Functions as well as the x and y intercepts

New ReviewWhen you need to graph a rational function there are a couple of things you must know.

New ReviewIn this video I am going to highlight the top ten types of functions that students make mistakes with when finding the domain and range

Pupil outcome: I can identify the key features of an exponential graph. Key learning points: - A exponential graph has a distinct shape. - An exponential graph has one asymptote. - The laws of indices explain where this asymptote is.

Pupil outcome: I can identify the key features of a reciprocal graph. Key learning points: - A reciprocal graph has a distinct shape. - A reciprocal graph has two asymptotes. - Reciprocal graphs of the form y = k/x have the axes as their...

In this video, we examine one situation in which rational functions could be used in the real world.

In this video, we investigate how changing "a" and "b" will affect functions int the form of y = a*b^x

In this video, we define rational functions and examine how to graph simple rational functions as transformations to the reciprocal function.

In this video, we graph rational functions where the numerator has the same degree as the denominator.

Find all six trig ratios given a point on the terminal side of theta. In this video we work this common type of problem. We use the Pythagorean Theorem to find "r" (hypotenuse), and then use the given "x" (adjacent) and "y" (opposite) to...

In this video, we graph rational functions where the numerator and denominator have differing degree. We also do an example with a hole.

What are some applications of rational functions? In this video we see a real-life example of rational functions and horizontal asymptotes.

In this video I will go over my five step method for graphing a rational expression. We will work on the steps one by one.

In this video we will explore how to graph a rational function when we have no vertical asymptote

In the previous lecture we saw that although a rational function may have any number of vertical asymptotes or no vertical asymptotes, rational functions will always have exactly one non-vertical asymptote. Unlike vertical asymptotes, a...

Although a rational function may have any number of vertical asymptotes or no vertical asymptotes, rational functions will always have exactly one non-vertical asymptote. Since a function's value is undefined at a vertical asymptote, its...

The time constant is defined. The equations of motion for a dropped object in terms of the time constant are derived. The graphs for those equations are also shown. Want Lecture Notes?f='http://www.flippingphysics.com/drag-f...'...

👉 Learn how to evaluate the limit of a function involving rational expressions. The limit of a function as the input variable of the function tends to a number/value is the number/value which the function approaches at that time. The...

In this video, the teacher explains how to interpret graphical behaviors using the properties of exponents. They discuss exponential growth and decay functions, as well as transformations and reflections of these functions. The...

👉 Learn about the characteristics of a function. Given a function, we can determine the characteristics of the function's graph. We can determine the end behavior of the graph of the function (rises or falls left and rises or falls...

In this lesson, students will learn how to graph shifted exponential and logarithmic functions by considering the spread of an Internet video. They will understand how changing the base affects the rate of growth or decay, and how...

👉 We will explore how to evaluate the limit at infinity. When evaluating the limit at infinity or negative infinity we are interested to know where is the graph going right and left. This is also commonly explored as end behavior of the...

👉 Learn about the characteristics of a function. Given a function, we can determine the characteristics of the function's graph. We can determine the end behavior of the graph of the function (rises or falls left and rises or falls...