Instructional Video3:42
Brian McLogan

Identify the horizontal and vertical asymptotes of a rational function

12th - Higher Ed
👉 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...
Instructional Video3:18
Brian McLogan

What are complex fractions

12th - Higher Ed
👉 Learn how to simplify a complex fraction. A complex fraction is a fraction with another fraction or fractions in the numerator and/or in the denominator. To simplify a complex fraction is to reduce the fraction in such a way as there...
Instructional Video8:30
Brian McLogan

How to determine, domain range, and the asymptote for an exponential graph

12th - Higher Ed
👉 Learn all about graphing exponential functions. An exponential function is a function whose value increases rapidly. To graph an exponential function, it is usually useful to first graph the parent function (without transformations)....
Instructional Video1:51
Brian McLogan

How to find the domain of a rational function with a radical in the denominator

12th - Higher Ed
👉 Learn how to find the domain of rational functions with a radical denominator. Recall that the domain of a function is the set of possible input values (x-values) of the function. For a rational function, the denominator cannot be zero...
Instructional Video1:20
Brian McLogan

Writing the equation of parabola with the focus and vertex

12th - Higher Ed
Learn how to write the equation of a parabola given the vertex and the focus. A parabola is the shape of the graph of a quadratic equation. A parabola can open up or down (if x is squared) or open left or right (if y is squared). Recall...
Instructional Video2:44
Brian McLogan

Given the focus and directrix write the equation of a parabola

12th - Higher Ed
Learn how to write the equation of a parabola given the focus and the directrix. A parabola is the shape of the graph of a quadratic equation. A parabola can open up or down (if x is squared) or open left or right (if y is squared)....
Instructional Video2:24
Brian McLogan

How to write the equation of a parabola in conic sections, given vertex and directrix

12th - Higher Ed
Learn how to write the equation of a parabola given the vertex and the directrix. A parabola is the shape of the graph of a quadratic equation. A parabola can open up or down (if x is squared) or open left or right (if y is squared)....
Instructional Video13:05
Brian McLogan

Graphing a rational function

12th - Higher Ed
👉 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...
Instructional Video1:05
Brian McLogan

Learn to find the x and y intercepts of a rational function

12th - Higher Ed
👉 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...
Instructional Video3:18
Brian McLogan

Learn How to Compose Two Rational Functions and Simplify

12th - Higher Ed
Learn how to compose two functions where one or both of those functions is/are rational. To compose two functions means to express one of the functions as a function of the other function. This is done by replacing the input variable of...
Instructional Video1:03
Brian McLogan

Multiplying two functions rational and square root

12th - Higher Ed
👉 Learn how to multiply two functions. We will explore the multiplication of linear, quadratic, rational, and radical functions. To multiply two functions, we simply algebraically multiply the rules (contents) of the two functions. We...
Instructional Video3:04
Brian McLogan

Dividing two reciprocal functions to determine the domain

12th - Higher Ed
👉 Learn how to divide two functions. We will explore the division of linear, quadratic, rational, and radical functions. To divide two functions, we simply algebraically divide the rules (contents) of the two functions. We will then...
Instructional Video1:36
Brian McLogan

Divide two function reciprocal functions and find the domain

12th - Higher Ed
👉 Learn how to divide two functions. We will explore the division of linear, quadratic, rational, and radical functions. To divide two functions, we simply algebraically divide the rules (contents) of the two functions. We will then...
Instructional Video8:35
Brian McLogan

Learn how to graph a rational function when the function intercepts horizontal asymptote

12th - Higher Ed
👉 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...
Instructional Video7:19
Brian McLogan

How to graph a rational function by simplifying to the reciprocal functions

12th - Higher Ed
👉 Learn how to graph the reciprocal function. A reciprocal function is a rational function whose expression of the variable is in the denominator. A reciprocal function is of the form f(x) = a / (x + h) + k, where h is the vertical...
Instructional Video4:08
Brian McLogan

How to find the vertical and horizontal asymptotes of a function

12th - Higher Ed
👉 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...
Instructional Video9:37
Brian McLogan

How to graph a rational function using solution points

12th - Higher Ed
👉 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...
Instructional Video16:18
Brian McLogan

Graphing a rational function with a trinomial as the denominator

12th - Higher Ed
👉 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...
Instructional Video12:09
Brian McLogan

Graphing a rational function with a slant asymptote

12th - Higher Ed
👉 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...
Instructional Video10:57
Brian McLogan

Master Determining the x and y intercepts of the reciprocal function

12th - Higher Ed
Master Determining the x and y intercepts of the reciprocal function
Instructional Video2:52
Brian McLogan

Lesson for factoring rational expressions so that you can multiply them

12th - Higher Ed
In this video series I will show you how to multiply rational expressions. When multiplying rational expressions it is important VERY important for you to simplify your expression first by factoring. Factoring allows us to write our...
Instructional Video1:31
Brian McLogan

Vertical and Horizontal asymptotes of a rational function

12th - Higher Ed
👉 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...
Instructional Video2:53
Brian McLogan

Learning how to multiply rational expressions

12th - Higher Ed
👉 Learn how to solve rational equations. A rational expression is an expression in the form of a fraction where the numerator and/or the denominator are/is an algebraic expression. There are many ways to solve rational expressions, one...
Instructional Video2:47
Brian McLogan

Identify any horizontal or vertical asypmtotes of a rational function

12th - Higher Ed
👉 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...