Instructional Video3:05
Brian McLogan

Determine the domain and range for the square root function

12th - Higher Ed
👉 Learn how to find the domain of a radical function. Recall that the domain of a function is the set of possible input values (x-values) of the function. For a radical square-root function, there cannot be a negative number inside the...
Instructional Video2:15
Brian McLogan

Determine end behavior of a polynomial

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 Video3:16
Brian McLogan

Determine the end behavior of a polynomial

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 Video4:51
Brian McLogan

Graphing a logarithmic function with two reflections

12th - Higher Ed
👉 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...
Instructional Video2:03
Brian McLogan

Learn how to evaluate the limits of a graph with 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 Video3:17
Brian McLogan

Graphing logarithmic equations

12th - Higher Ed
👉 Learn how to graph logarithmic functions involving vertical shift. 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...
Instructional Video10:42
Brian McLogan

Determine the intervals when a function is increasing decreasing or constant

12th - Higher Ed
👉 Learn how to determine increasing of decreasing intervals of function. There are many ways in which we can determine whether a function is increasing or decreasing but we will focus on determining increasing/decreasing from the graph...
Instructional Video1:15
Brian McLogan

How to determine the domain of addition of two rational functions

12th - Higher Ed
👉 Learn how to find the domain of rational functions. 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. Thus, to find the domain...
Instructional Video8:11
Brian McLogan

Graphing a basic logarithmic graph and determine the x intercept

12th - Higher Ed
👉 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...
Instructional Video4:03
Brian McLogan

Learn How to Graph a Piece Wise Function

12th - Higher Ed
👉 Learn how to graph piecewise functions. A piecewise function is a function which have more than one sub-functions for different sub-intervals(sub-domains) of the function's domain. To graph a piecewise function, we graph the different...
Instructional Video7:50
Brian McLogan

Basic characteristics of a function graph

12th - Higher Ed
Basic characteristics of a function graph
Instructional Video7:23
Brian McLogan

Where does the cosecant graph come from?

12th - Higher Ed
👉 Learn the basics of graphing the secant and the cosecant graphs. Recall that the secant is the reciprocal of the cosine while the cosecant is the reciprocal of the sine. Also recall that the cosine graph is a sinusoidal graph with...
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 Video15:05
Brian McLogan

MASTER Graphing a quadratic function in vertex form, identify vertex, axis of symmetry and domain

12th - Higher Ed
Welcome to McLogan. So what I'd like to do is show you how to graph a quadratic when it's in vertex form. Now, when graphing a quadratic in vertex form, it's very important to know two things, one, what exactly is...
Instructional Video5:02
Brian McLogan

Graphing exponential growth equations

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...
Instructional Video7:47
Math Fortress

Differential Equations: Implicit Solutions (Level 2 of 3)

12th - Higher Ed
This video introduces the basic concepts associated with solutions of ordinary differential equations. This video goes over 2 examples illustrating how to verify implicit solutions, find explicit solutions, and define appropriate...
Instructional Video2:03
Brian McLogan

Learn how to determine the intervals that a graph is increasing and decreasing

12th - Higher Ed
👉 Learn how to determine increasing/decreasing intervals. There are many ways in which we can determine whether a function is increasing or decreasing but we will focus on determining increasing/decreasing from the graph of the function....
Instructional Video5:52
Brian McLogan

How to determine the increasing and decreasing values

12th - Higher Ed
👉 Learn how to determine if a function is even or odd. A function is even if the graph of the function is symmetrical about the y-axis, or a function is even if f(x) = f(-x). A function is odd if the graph of the function is symmetrical...
Instructional Video3:15
Brian McLogan

Determine end behavior of a polynomial

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 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 Video5:55
Brian McLogan

Operations with functions and finding the domain of each

12th - Higher Ed
👉 Learn how to apply operations to functions such as adding, subtracting, multiplying, and dividing to two functions. To add/subtract/multiply or divide two functions, we algebraically add/subtract/multiply or add the rules (contents) of...
Instructional Video4:34
Brian McLogan

Summary for end behavior of a polynomial

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 Video2:50
Brian McLogan

What is end behavior of a polynomial

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 Video9:09
Brian McLogan

End Behavior of Functions

12th - Higher Ed
End Behavior of Functions