Instructional Video3:21
Brian McLogan

Evaluate the left, right and general limit of a piecewise function

12th - Higher Ed
👉 Learn all about the Limit. In this playlist, we will explore how to evaluate the limit of an equation, piecewise function, table and graph. We will explore continuity as well as discontinuities such as holes, asymptotes and jumps and...
Instructional Video5:25
Brian McLogan

Finding the Slant Asymptote

12th - Higher Ed
👉 Learn how to find the slant/oblique asymptotes of a function. A slant (oblique) asymptote usually occurs when the degree of the polynomial in the numerator is higher than the degree of the polynomial in the denominator. To find the...
Instructional Video42:46
Brian McLogan

Cram For Your Exponential and Logarithmic Function Test

12th - Higher Ed
In this video we will study everything you need to know for exponential and logarithmic functions. We will begin by graphing and then move into simplifying expressions and solving.
Instructional Video3:49
Brian McLogan

Label the transformations domain and range from exponential function

12th - Higher Ed
👉 Learn how to identify transformations of functions. Transformation of a function involves alterations to the graph of the parent function. The transformations can be dilations, translations (shifts), reflection, stretches, shrinks,...
Instructional Video3:52
Brian McLogan

Find the Horizontal Vertical asymptote with intercepts

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 Video1:57
Brian McLogan

Finding the vertical, horizontal and slant 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 Video12:57
Brian McLogan

Understanding where e comes from

12th - Higher Ed
Understanding where e comes from
Instructional Video3:34
Brian McLogan

What is a horizontal asymptote

12th - Higher Ed
👉 Learn all about asymptotes of a rational function. A rational function is a function, having a variable in the denominator. An asymptote is a line that the graph of a function approaches but never touches. There are the vertical, the...
Instructional Video2:50:07
Brian McLogan

Full Lesson: Rational Functions

12th - Higher Ed
In this video series you will learn how to graph a system of linear inequalities. When graphing a system of linear inequalities you will graph just like a system of linear equations except you will use test points to shade.
Instructional Video2:14
Brian McLogan

Learn how to evaluate the limits at infinity with asymptotes on a graph

12th - Higher Ed
👉 Learn how to evaluate the limit of a function from the graph of the function. The limit of a function as the input variable of the function tends to a number/value is the number/value which the function approaches at that time. When...
Instructional Video8:14
Brian McLogan

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 Video1:35
Brian McLogan

Evaluating the limit at infinity when the degrees are equal numerator, denominator

12th - Higher Ed
👉 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...
Instructional Video2:42
Brian McLogan

Evaluate the limits from a graph with horizontal and vertical asymptotes

12th - Higher Ed
👉 Learn how to evaluate the limit of a function from the graph of the function. The limit of a function as the input variable of the function tends to a number/value is the number/value which the function approaches at that time. When...
Instructional Video17:09
Brian McLogan

Define Inc,dec,cont, intervals even,odd, functions and end behavior

12th - Higher Ed
Define Inc,dec,cont, intervals even,odd, functions and end behavior
Instructional Video3:11
Brian McLogan

Graphing exponential functions with horizontal and vertical transformations

12th - Higher Ed
👉 Learn how to graph exponential functions involving vertical shift. An exponential function is a function that increases rapidly as the value of x increases. To graph an exponential function, it is usually very useful to make the table...
Instructional Video9:09
Brian McLogan

End Behavior of Functions

12th - Higher Ed
End Behavior of Functions
Instructional Video10:36
Brian McLogan

How do you find the vertical and horizontal asymptotes of a rational function

12th - Higher Ed
👉 Learn all about asymptotes of a rational function. A rational function is a function, having a variable in the denominator. An asymptote is a line that the graph of a function approaches but never touches. There are the vertical, the...
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 Video11:30
Brian McLogan

Define transformations of parent graphs

12th - Higher Ed
Define transformations of parent graphs
Instructional Video18:41
Brian McLogan

Characteristics of Functions

12th - Higher Ed
Characteristics of Functions
Instructional Video1:47
Brian McLogan

End behavior when it doesn't exist

12th - Higher Ed
👉 Learn how to determine the end behavior of the graph of a polynomial function. To do this we will first need to make sure we have the polynomial in standard form with descending powers. We will then identify the leading terms so that...
Instructional Video5:12
Brian McLogan

Learn how to simplify a complex fraction in easy way

12th - Higher Ed
👉 Learn how to simplify complex fractions. To simplify complex fractions having a fraction as the numerator and another fraction as the denominator we first factor the expressions that can be factored and then we multiply the fraction in...
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 Video4:56
Brian McLogan

Graphing exponential functions with reflection and horizontal shift

12th - Higher Ed
👉 Learn how to graph exponential functions involving horizontal shift. An exponential function is a function that increases rapidly as the value of x increases. To graph an exponential function, it is usually very useful to make the...