Graph a Rational Function

Need help figuring out how to graph a rational function with limits? Learn how to graph a rational function using limits to find discontinuities and functional asymptotes with this free video lesson. From Ramanujan to calculus co-creator Gottfried Leibniz, many of the world's ...more

From Ramanujan to calculus co-creator Gottfried Leibniz, many of the world's best and brightest mathematical minds have belonged to autodidacts. And, thanks to the Internet, it's easier than ever to follow in their footsteps (or just study for that next big test). With this tw ...more

To find a vertical asymptote, you are trying to find values of x that produce 0 in the denominator but not in the numerator. If 0/0 occurs, that means you have a "hole" in the graph. A vertical asymptote is a place in the graph of infinite discontinuity, where the graph spikes ...more

Need help figuring out how to calculate the slant asymptote of a rational function? Learn how with this free video lesson. From Ramanujan to calculus co-creator Gottfried Leibniz, many of the world's best and brightest mathematical minds have belonged to autodidacts. And, than ...more

Need help figuring out how to find the vertical and horizontal asymptotes of a rational function? Learn how with this free video lesson. From Ramanujan to calculus co-creator Gottfried Leibniz, many of the world's best and brightest mathematical minds have belonged to autodida ...more

From Ramanujan to calculus co-creator Gottfried Leibniz, many of the world's best and brightest mathematical minds have belonged to autodidacts. And, thanks to the Internet, it's easier than ever to follow in their footsteps. With this installment from Internet pedagogical sup ...more

In this tutorial the instructor shows how to complete the square to graph a quadratic function using transformations. You can do this by transforming your equation in a series of steps. First make the coefficient of the square term to one by pulling out its numerical coefficie ...more

This video shows how to find the formula of a piecewise function when given a graph. The first step is to write a definition for the graph, which is done by identifying the different domains shown in the graph. The second step is writing formulas for each domain specified by t ...more

Learn how to use the unit circle definition of the sine function to make a graph of it. From Ramanujan to calculus co-creator Gottfried Leibniz, many of the world's best and brightest mathematical minds have belonged to autodidacts. And, thanks to the Internet, it's easier tha ...more

Need to know how to find the formula for a piecewise function from a graph? Learn how with this free video lesson. From Ramanujan to calculus co-creator Gottfried Leibniz, many of the world's best and brightest mathematical minds have belonged to autodidacts. And, thanks to th ...more

This video deals with solving quadratic functions. It does not involve the use of the quadratic equation; rather, only factored equations are used. The speaker starts out with a factored quadratic equation. The speaker goes on to do the mathematical steps necessary to find bot ...more

This video teaches us to draw the graph of a piecewise function. This is shown using two examples. In the first example we have 'y' equal to 'x + 2' for x less than zero and '1 - x' for x greater than equal to zero. We plot two points on the function for x less than zero and d ...more

One of Microsoft Excel's capabilities is to allow you to graph Normal Distribution, or the probability density function, for your busines. This is a quick and easy tracking feature you can learn in just a few minutes.

From Ramanujan to calculus co-creator Gottfried Leibniz, many of the world's best and brightest mathematical minds have belonged to autodidacts. And, thanks to the Internet, it's easier than ever to follow in their footsteps (or just study for that next big test). With this in ...more

This video shows the method to plot the graph of the absolute value of a function. The video shows the example of the function of cube root of 'x'. The demonstrator first plots the graph of a cube root function. This is done by taking the reference point of positive one and po ...more

The video shows the explanation of greatest integer function. This video explains this with the help of graphs. The video first describes the basic greatest integer function. This means the greatest integer less than or equal to the number gave. The graph of this function is d ...more

When you are solving inequality for a rational function you don't do it the same way as you would solve an equality. Now the instructor shows how to solve an inequality with the help of an example. Now to solve an inequality which is in the form a/b first take the numerator an ...more

PatrickJMT takes you through step by step on the basics of how to use curve sketching to solve calculus equations. Steps that are covered in this two part video include domain, intercepts, symmetry, horizontal and vertical asymtotes, intervals of increase/decrease, local maxim ...more

This is a great instructional video on how to find oblique asymptotes of rational functions. Let us take the example f(x)= x square+4x-12 over x-6. Now we have to find the horizontal or oblique asymptotes of this rational function. The higher power here is x square which is at ...more

From Ramanujan to calculus co-creator Gottfried Leibniz, many of the world's best and brightest mathematical minds have belonged to autodidacts. And, thanks to the Internet, it's easier than ever to follow in their footsteps (or just finish your homework or study for that next ...more

If you use Microsoft Excel on a regular basis, odds are you work with numbers. Put those numbers to work. Statistical analysis allows you to find patterns, trends and probabilities within your data. In this MS Excel tutorial from everyone's favorite Excel guru, YouTube's Excel ...more

There is a new function in MS Excel 2010 called ‘Sparkline’ which helps you quickly find trends associated with a set of data. To create Sparkline, you can go to ‘Insert’ tab and then select ‘Sparkline’ section and then select the graph type. After you enter the data range and ...more

In this tutorial the instructor shows how to find the x and y intercepts of rational functions. Finding the intercepts of a rational function is similar to finding the intercepts of other normal equations. You can find the x intercept of the equation by setting the value of y ...more

Looking for instructions on how to find the vertical and horizontal asymptotes of a rational function? Learn how with this free video lesson. From Ramanujan to calculus co-creator Gottfried Leibniz, many of the world's best and brightest mathematical minds have belonged to aut ...more

In this video the instructor shows how to graph a piecewise defined function. A piecewise defined function is a function that is defined in separate pieces. In these kind of functions, for different ranges of the value of x, you are given different small functions, all of whic ...more

This video shows the method to graph a linear function by finding the X and Y intercept. Only two points are needed to graph linear functions. So we find the point on Y axis or the Y intercept and the point on the X axis or the X intercept. We notice that on the Y axis the X c ...more

In this educational video the instructor shows how to find the slant asymptotes of rational functions. Slant or oblique asymptotes occur when the degree of the numerator is exactly one greater than the degree of the denominator of the rational function. The way to find the equ ...more

Finding horizontal asymptotes is very easy! Not all rational functions have horizontal asymptotes. the function must satisfy one of two conditions dependent upon the degree (highest exponent) of the numerator and denominator. If the degree of the numerator is equal to the degr ...more

This test can be used to determine whether the given graph is a function or not. Before going into the vertical line test let's first understand what is a function in a graph? A function can be defined as for every input there can be only one output. In order to test this we ...more

In this video the teacher shows us how to use a TI-84 plus graphing calculator to graph a function, adjust the view window, and determine the values of several types of critical points on the graph such as x-intercept, y-intercept, local maximums, and local minimums. After ent ...more

This video demonstrates how to solve a linear function with rational coefficients by multiplying by the reciprocal of the coefficient. The reciprocal is just a fancy way of saying the numerator and denominator are swapped. Two sample problems are solved using this method. Mult ...more

Professor ElvisZap teaches you how to stretch shift and reflect the graph of a square root. A square root function is the opposite of a squared function. You start with y=square root of (x-1) it becomes 0<=x-1. then 1 <=x. You use the graph and solve it as you would for any fu ...more

In this tutorial, we learn how to graph a parabola. Quadratic functions are parabolas. To graph these, you will first need to look at the function, which is the set of outputs for a set of inputs. Write this out on a t-chart to find what your 'x' and 'y' values are. Once you f ...more

This video shows the method to use differential equations to represent growth. Consider the function y=multiple of C & e raised to kx or Ce^(kx). Differentiating it with respect to x, we get dy/dx=kCe^(kx) or ky. So, the solution of the differential equation dy/dx=ky is Ce^(kx ...more

If you are given an equation of ellipse in the form of a function whose value is a square root, you may need to simplify it to make it look like the equation of an ellipse. Now equate the function to a variable y and perform squaring on both sides to remove the radical. Now si ...more

This is the video about how to find the equation of a tangent line. As you may recall, a line which is tangent to a curve at a point a, must have the same slope as the curve. Therefore, the slope of the tangent is m = lim f(a + h) - f(a) h-->0 h Since the slope equation of the ...more

This video tutorial belongs to the Education category which is going to show you how to match exponential graphs. The video shows two graph sheets with three graphs marked A to F on each sheet and six equations. It starts off with matching the basic function, y = 2 to the powe ...more

This video shows the user how to use a T189 calculator to plot linear equations. The video demonstration is done using an ‘on screen’ representation of the calculator – there are also verbal instructions. The equations are plotted on the same axis by selecting the ‘y=’ functio ...more

Learn how to graph the amplitude and periods of sine and cosine functions in basic trigonometry. Learn how to use trigonometric functions to calculate the sides of a right triangle. Need to know how to solve a matrix-form linear equation in algebra? From Ramanujan to calculus ...more

Want to find the domain of a function without graphing it? Learn how with this free video lesson. From Ramanujan to calculus co-creator Gottfried Leibniz, many of the world's best and brightest mathematical minds have belonged to autodidacts. And, thanks to the Internet, it's ...more

Check out this instructional math video that demonstrates how to calculate mathematical functions and graphs. In this 9th lesson, learn how to solve on SAT Algebra problems using the Official SAT Study Guide (as always). Here are the math problems and their page numbers that t ...more

YAYMATH In order to use rational functions in intermediate algebra, Robert Ahdoot begins by setting values to the functions f(x) and g(x). He then adds these functions together, with the equation (f+g)(x). After addition comes subtraction, using the equation (f-g)(x). And fina ...more

Need to know how to determine the equations of trigonmetric functions by inspecting their graphs? Learn how. Learn how to use trigonometric functions to calculate the sides of a right triangle. Need to know how to solve a matrix-form linear equation in algebra? From Ramanujan ...more

YouTube user NotesCollegeAlgebra teaches you how to evaluate combinations of functions from graphs. You start off with a graph and some functions. (f+g)(-3), (g/f)(0) and (fg)(-6). You start looking at the graph and the first line and you get (f+g)(-3)=f(-3)+g(-3)=3+1=4. (g/f) ...more

This video walks you through the steps of solving linear function graphs. This excellent video shows you a clean blackboard, with the instructors voice showing exactly what to do. Don't fret, any question you may have, will be answered. Watching this video will make you feel l ...more

On Yay Math, Robert Ahdoot, founder of Yay Math, will show you some square root functions and some inequalities. He begins with the problem y=x². Then he makes a sketch with two intersecting lines in a t shape. The problem is illustrated by a curved U shape, the U's bottom res ...more

This video walks you through the steps of graphing quadratic funtions. This excellent video shows you a clean blackboard, with the instructors voice showing exactly what to do. Don't fret, any question you may have, will be answered. Watching this video will make you feel like ...more

Watch to learn how to use graphs to help analyze sine, cosine, and tangent functions in trigonometry.

In this Adobe CS4 project tutorial, designer David Stiller works with the new Flash CS4 motion editor and its easing functions to adjust the speed of movement in a simple animation. The easing graphs allow for adjustments to motion speed to be made visually. See how to use the ...more

Lawrence Perez, from Saddleback College, and his assistant Charlie, give this two-part calculus lesson on integrating with special substitutions; rational functions with sine and cosines: Karl Weistrass method. Part 1 of 2 - How to Use special substitutions in calculus II. Pa ...more

Need a little help with your math homework? No problem, the Math Centre offers students video tutorials that will provide as a reference guide for self-study. Students get self-study resources targeted to the needs of individual courses, and teachers gain generic mathematics s ...more

Need a little help with your math homework? No problem, the Math Centre offers students video tutorials that will provide as a reference guide for self-study. Students get self-study resources targeted to the needs of individual courses, and teachers gain generic mathematics s ...more

Need a little help with your math homework? No problem, the Math Centre offers students video tutorials that will provide as a reference guide for self-study. Students get self-study resources targeted to the needs of individual courses, and teachers gain generic mathematics s ...more

Need a little help with your math homework? No problem, the Math Centre offers students video tutorials that will provide as a reference guide for self-study. Students get self-study resources targeted to the needs of individual courses, and teachers gain generic mathematics s ...more

Need a little help with your math homework? No problem, the Math Centre offers students video tutorials that will provide as a reference guide for self-study. Students get self-study resources targeted to the needs of individual courses, and teachers gain generic mathematics s ...more

Need a little help with your math homework? No problem, the Math Centre offers students video tutorials that will provide as a reference guide for self-study. Students get self-study resources targeted to the needs of individual courses, and teachers gain generic mathematics s ...more