Hi, what do you want to do?
Brian McLogan
Identify the horizontal and vertical asymptotes of a rational function
👉 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
What are complex fractions
👉 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...
Brian McLogan
How to determine, domain range, and the asymptote for an exponential graph
👉 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)....
Brian McLogan
How to find the domain of a rational function with a radical in the denominator
👉 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...
Brian McLogan
Writing the equation of parabola with the focus and vertex
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...
Brian McLogan
Given the focus and directrix write the equation of a parabola
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)....
Brian McLogan
How to write the equation of a parabola in conic sections, given vertex and directrix
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)....
Brian McLogan
Graphing a rational function
👉 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
Learn to find the 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...
Brian McLogan
Learn How to Compose Two Rational Functions and Simplify
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...
Brian McLogan
Multiplying two functions rational and square root
👉 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...
Brian McLogan
Dividing two reciprocal functions to determine the domain
👉 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...
Brian McLogan
Divide two function reciprocal functions and find the domain
👉 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...
Brian McLogan
Learn how to graph a rational function when the function intercepts horizontal asymptote
👉 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
How to graph a rational function by simplifying to the reciprocal functions
👉 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...
Brian McLogan
How to find the vertical and horizontal asymptotes of a function
👉 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
How to graph a rational function using solution points
👉 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
Graphing a rational function with a trinomial as the denominator
👉 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
Graphing a rational function with a slant asymptote
👉 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
Master Determining the x and y intercepts of the reciprocal function
Master Determining the x and y intercepts of the reciprocal function
Brian McLogan
Lesson for factoring rational expressions so that you can multiply them
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...
Brian McLogan
Vertical and Horizontal asymptotes of a rational function
👉 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
Learning how to multiply rational expressions
👉 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...
Brian McLogan
Identify any horizontal or vertical asypmtotes of a rational function
👉 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...