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 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...

👉 Learn all about the Limit. In this playlist, we will explore how to evaluate the limit of an equation, piecewise function, table and graph. We will explore continuity as well as discontinuities such as holes, asymptotes and jumps and...

👉 Learn how to find the slant/oblique asymptotes of a function. A slant (oblique) asymptote usually occurs when the degree of the polynomial in the numerator is higher than the degree of the polynomial in the denominator. To find the...

In this video we will study everything you need to know for exponential and logarithmic functions. We will begin by graphing and then move into simplifying expressions and solving.

👉 Learn how to identify transformations of functions. Transformation of a function involves alterations to the graph of the parent function. The transformations can be dilations, translations (shifts), reflection, stretches, shrinks,...

👉 Learn how to find the vertical/horizontal asymptotes of a function. An asymptote is a line that the graph of a function approaches but never touches. The vertical asymptote is a vertical line that the graph of a function approaches but...

👉 Learn how to find the vertical/horizontal asymptotes of a function. An asymptote is a line that the graph of a function approaches but never touches. The vertical asymptote is a vertical line that the graph of a function approaches but...

Understanding where e comes from

👉 Learn all about asymptotes of a rational function. A rational function is a function, having a variable in the denominator. An asymptote is a line that the graph of a function approaches but never touches. There are the vertical, the...

In this video series you will learn how to graph a system of linear inequalities. When graphing a system of linear inequalities you will graph just like a system of linear equations except you will use test points to shade.

👉 Learn how to evaluate the limit of a function from the graph of the function. 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. When...

👉 Learn how to find the x and y-intercepts of a rational function. The x-intercept(s) of a function occurs when y = 0 and the y-intercept(s) of a function occurs when x = 0. To find the y-intercept of a function, we plug in zero for x...