Instructional Video4:47
Brian McLogan

Determining when a function is increasing decreasing or constant

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 Video2:48
Brian McLogan

Evaluate the limits of a graph with a jump discontinuity

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 Video0:54
Brian McLogan

Evaluate the limit at infinity using properties of limits

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 Video29:26
Brian McLogan

Find the Inverse Function Algebraically

12th - Higher Ed
Find the Inverse Function Algebraically
Instructional Video5:53
Brian McLogan

How to graph the logarithmic functions

12th - Higher Ed
👉 Learn all about graphing logarithmic functions. A logarithmic function is a function with logarithms in them. The graph of the parent function of a logarithmic function usually takes its domain from the positive x-axis. To graph a...
Instructional Video1:31
Brian McLogan

Learn how to determine the domain from a rational function

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 Video1:06
Brian McLogan

Learn to find the values the function is undefined, then write domain

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 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 Video5:00
Brian McLogan

Learning multiple characteristics of a parabola from the equation in vertex form

12th - Higher Ed
We will learn how to graph a quadratic in vertex form and graph a quadratic in standard form by completing the square and rewriting the equation in vertex form. When the quadratic is in vertex form we learn how to identify the axis of...
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 Video7:45
Brian McLogan

How to graph exponential functions

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 Video7:21
Brian McLogan

Finding the domain vertical asymptote and x intercepts of a logarithm

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 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 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 Video1:42
Brian McLogan

Evaluate the limit to infinity from a graph with jump discontinuity

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 Video4:12
Brian McLogan

Find the domain from division of two functions

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 Video5:14
Brian McLogan

BEST explanation how to determine domain algebraically

12th - Higher Ed
👉 Learn about every thing you need to know to understand the domain and range of functions. We will look at functions represented as equations, tables, mapping, and ordered pairs. The domain is the set of all possible x or input values...
Instructional Video5:30
Physics Girl

Could you replace your eye with a camera?

9th - 12th
How does the eye compare to a camera? How do they work, and will camera technology ever get to the point where you would want to replace your eyeball with a camera?
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...