Brian McLogan
Determine the domain and range for the square root function
👉 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...
Brian McLogan
Determine end behavior of a polynomial
👉 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...
Brian McLogan
Determine the end behavior of a polynomial
👉 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...
Brian McLogan
Graphing a logarithmic function with two reflections
👉 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...
Brian McLogan
Learning multiple characteristics of a parabola from the equation in vertex form
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...
Brian McLogan
Learn how to evaluate the limits of a graph with asymptotes
👉 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...
Brian McLogan
How to graph exponential functions
👉 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
Finding the domain vertical asymptote and x intercepts of a logarithm
👉 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...
Brian McLogan
Graphing logarithmic equations
👉 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...
Brian McLogan
Determine the intervals when a function is increasing decreasing or constant
👉 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...
Brian McLogan
How to determine the domain of addition of two rational functions
👉 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...
Brian McLogan
Learn how to evaluate the limits at infinity with asymptotes on a graph
👉 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...
Brian McLogan
Evaluate the limit to infinity from a graph with jump discontinuity
👉 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...
Brian McLogan
Find the domain from division of two functions
👉 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
BEST explanation how to determine domain algebraically
👉 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...
Physics Girl
Could you replace your eye with a camera?
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?
Brian McLogan
Graphing a basic logarithmic graph and determine the x intercept
👉 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...
Brian McLogan
Graphing exponential functions
👉 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...
Brian McLogan
Learn How to Graph a Piece Wise Function
👉 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...
Brian McLogan
Find the transformations domain and range the the square root function
👉 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,...
Brian McLogan
Determine the intervals that a graph is increasing and decreasing
👉 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....
Brian McLogan
Where does the cosecant graph come from?
👉 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...
Brian McLogan
Evaluating the limit at infinity when the degrees are equal numerator, denominator
👉 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...