Brian McLogan
Horizontal and Vertical asymptotes of rational functions
👉 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...
Brian McLogan
Master Graphing Logarithmic equations with reflections then determine the domain and range
Master Graphing Logarithmic equations with reflections then determine the domain and range
Brian McLogan
Determine the horizontal asymptotes
👉 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...
Brian McLogan
Given vertices and asymptotes, write the equation of the hyperbola
Learn how to write the equation of hyperbolas given the characteristics of the hyperbolas. The standard form of the equation of a hyperbola is of the form: (x - h)^2 / a^2 - (y - k)^2 / b^2 = 1 for horizontal hyperbola or (y - k)^2 / a^2...
Brian McLogan
what is the formula's for the asymptotes of a hyperbola
Learn all about hyperbolas. A hyperbola is a conic section with two fixed points called the foci such that the difference between the distances of any point on the hyperbola from the two foci is equal to the distance between the two...
Brian McLogan
Graphing logarithmic equations
👉 Learn how to graph logarithmic functions. The logarithmic function is the inverse of the exponential function. To graph a logarithmic function, it is usually very useful to make the table of values of the function. This is done by...
msvgo
Population Growth
This nugget explains the different growth models in population ; exponential growth and logistic growth and their attributes
Brian McLogan
Tips To Graph Trigonometric Functions
In this video, I will help you learn how to understand and graph the sine, cosine, tangent, cotangent, cosecant, and secant functions with their initial period
Brian McLogan
Graphing logarithmic equations
👉 Learn all about graphing natural logarithmic functions. A logarithmic function is a function with logarithms in them. A natural logarithmic function (ln function) is a logarithmic function to the base of e. The graph of the parent...
Brian McLogan
Evaluating a limit at infinity horizontal asymptote
👉 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...
Brian McLogan
Evaluating the limit at infinity find horizontal asymptote
👉 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...
Curated OER
Conic Sections: Hyperbolas 3
Continuing with the study of graphing hyperbolas, Sal shows an example of graphing a parabola that is centered at a point off the origin. By looking at the equation, first without shifting it, he helps listeners develop an intuitive...
Curated OER
Conic Sections: Hyperbolas 2
Here is an example in this video of graphing a hyperbola centered at the origin. First, Sal shows solving for the equations of the asymptotes and then shows how to determine the direction of the hyperbola. He takes the approach of not...
Curated OER
Conic Sections: Intro to Hyperbolas
In this video, Sal starts with the equation of a hyperbola by first comparing it to the equation of the circle, and ellipse. He then shows how to find the equation of the asymptotes by solving for y. He also shows a few intuitive ways to...
Khan Academy
Khan Academy: Algebra Ii: Graphing Rational Functions 4
Video shows an example of finding the horizontal and vertical asymptotes of a rational function. Also shows finding the behavior of the function as it approaches the asymptotes and uses this information to sketch a graph of the function....
Khan Academy
Khan Academy: Algebra Ii: Graphing Rational Functions 2
Video shows an example of finding asymptotes of a rational function. Uses the asymptotes and the behavior near the asymptotes to graph the function. Includes an example of a rational function that does not have asymptotes. [8:20]
Khan Academy
Khan Academy: Algebra: Asymptotes of Rational Functions
Video explains what asymptotes are and demonstrates how to determine the asymptotes of rational functions. Includes rules for horizontal asymptotes based on the highest power of the numerator and denominator of the rational function....
Sophia Learning
Sophia: Finding Secant and Cosecant Asymptotes: Lesson 7
The lesson here demonstrates how to determine where on a graph the asymptotes for secant and cosecant functions will occur. This lesson is 7 of 7 in the series titled "Finding Secant and Cosecant Asymptotes."
Sophia Learning
Sophia: Finding the Asymptotes of Tangent and Cotangent: Lesson 7
The lesson here demonstrates how to determine where on a graph the asymptotes for tangent and cotangent functions will occur. This lesson is 7 of 7 in the series titled "Finding the Asymptotes of Tangent and Cotangent."
Sophia Learning
Sophia: Finding the Horizontal Asymptote of a Rational Equation: Lesson 5
This lesson shows how to find the horizontal asymptote for a rational equation. It is 5 of 7 in the series titled "Finding the Horizontal Asymptote of a Rational Equation."
Sophia Learning
Sophia: Secant and Cosine: Lesson 1
Relationships between the graphs of secant and cosine are explored in this lesson. It is 1 of 5 in the series titled "Secant and Cosine."
Sophia Learning
Sophia: Cosecant and Sine: Lesson 2
Relationships between the graphs of cosecant and sine are explored in this lesson. It is 2 of 5 in the series titled "Cosecant and Sine." [2:04]
Sophia Learning
Sophia: Cosecant and Sine: Lesson 3
Relationships between the graphs of cosecant and sine are explored in this lesson. It is 3 of 5 in the series titled "Cosecant and Sine." [2:57]