Brian McLogan
Learn how to graph a rational expression with symmetry about the origin
👉 Learn how to graph a rational function. To graph a rational function, we first find the vertical and horizontal or slant asymptotes and the x and y-intercepts. After finding the asymptotes and the intercepts, we graph the values and...
Brian McLogan
Using multiple properties of exponents to simplify an expression
👉 Learn how to simplify expressions using the power rule of exponents. When several terms of an expression is raised to an exponent outside the parenthesis, the exponent is distributed over the individual terms in the expression and the...
Brian McLogan
Graphing a rational functions with asymptotes
👉 Learn how to graph a rational function. To graph a rational function, we first find the vertical and horizontal or slant asymptotes and the x and y-intercepts. After finding the asymptotes and the intercepts, we graph the values and...
Brian McLogan
Simplifying expressions using the rules of exponents, quotient property
👉 Learn how to simplify expressions using the quotient rule and the negative exponent rule of exponents. The quotient rule of exponents states that the quotient of powers with a common base is equivalent to the power with the common base...
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...
Curated Video
Creating and Graphing Relationships Using Rational Functions
In this video, the teacher explains how to create and graph rational functions by using the example of renting out a pool. They cover the concept of rational functions, input restrictions, and asymptotes. The lesson demonstrates how the...
msvgo
Limits of Rational Functions
It explains how to evaluate the limit of rational functions by using one of the appropriate techniques taking substitution, rationalisation, or theorem.
Curated Video
Operations with Rational Numbers
Solve real-world math problems involving rational numbers.
Brian McLogan
Find x and y intercepts of a rational function
👉 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...
msvgo
Algebra of Continuous Functions
It explains the laws of algebra of continuity of functions. It also explains continuity of composite functions.
Curated OER
How Do You Graph a Rational Function by Making a Table?
Make a table to graph a rational equation. Make a list of values for x and plug them into the expression to get the y value. Then plot the ordered pairs on a graph. Hey, this graph looks funny! Something about asymptotes. Watch closely...
Curated OER
What is a Rational Function?
A rational function can be written as a ratio of two polynomials. There are a couple of rules concerning the denominator so watch this video and find out what they are.
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 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."
Study Pug
Study Pug: What Is a Rational Function?
Detailed video lesson explores rational functions. [42:37]
Sophia Learning
Sophia: Finding a Hole in the Graph: Lesson 2
This lesson demonstrates how to find the hole in a given rational equation. It is 2 of 7 in the series titled "Finding a Hole in the Graph."
Sophia Learning
Sophia: Finding a Hole in the Graph: Lesson 6
This lesson demonstrates how to find the hole in a given rational equation. It is 6 of 7 in the series titled "Finding a Hole in the Graph."
Sophia Learning
Sophia: Finding a Hole in the Graph: Lesson 1
This lesson demonstrates how to find the hole in a given rational equation. It is 1 of 7 in the series titled "Finding a Hole in the Graph."
Sophia Learning
Sophia: Finding the Horizontal Asymptote of a Rational Equation: Lesson 4
This lesson shows how to find the horizontal asymptote for a rational equation. It is 4 of 7 in the series titled "Finding the Horizontal Asymptote of a Rational Equation."
Sophia Learning
Sophia: Finding the Horizontal Asymptote of a Rational Equation: Lesson 7
This lesson shows how to find the horizontal asymptote for a rational equation. It is 7 of 7 in the series titled "Finding the Horizontal Asymptote of a Rational Equation."
Sophia Learning
Sophia: Finding the Slant Asymptote of a Rational Equation: Lesson 3
The process of determining the equation for a slant asymptote of a rational equation is shown in this lesson. It is 3 of 7 in the series titled "Finding the Slant Asymptote of a Rational Equation."