👉 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...

👉 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...

👉 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...

Welcome, ladies and gentlemen. So, what I'd like to do is show you how to graph a quadratic in vertex form when it's in standard form. And there's a couple different ways we can do this. Obviously, we could use some...

👉 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...

Define transformations of parent graphs

👉 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...

👉 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...

Characteristics of 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)....

👉 Learn all about graphing natural logarithmic functions. A logarithmic function is a function with logarithms in them. A natural logarithmic function (ln function) is a logarithmic function to the base of e. The graph of the parent...

👉 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...

In this lesson, students learn how to sketch the graph of higher degree polynomial functions by finding the x-intercepts and determining the end behavior. They are guided through the process of setting the polynomial equal to zero,...

In this lesson, students will learn how the multiplicity of roots affects the graph of a function. They will understand that a double root splits the graph into two intervals with positive Y values on both sides, while roots with odd...

Welcome, ladies and gentlemen. So what I'd like to do is show you how to graph a quadratic using the equation for a vertex as well as axis of symmetry.



Now, I have two functions and I have...

👉 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...

👉 Learn how to determine the end behavior of the graph of a factored polynomial function. To do this we will first need to make sure we have a polynomial in standard form (i.e. we will expand all factored terms) with descending powers....

👉 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...

👉 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...

In this video we will explore how to graph the reciprocal function. We will do this by exploring the characteristics of cosecant, secant and cotagent to comparing them to the reciprocal functions, sine, cosine and tangent. We will then...

👉 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...

4f Example 1 Part1 (How to graph the Cosecant Function)

Learn how to determine the domain and range of a function given the graph of the function. Since the domain of a function is the set of all x-values we will want to identify how far left the graph goes as well as how far right to...

Learn how to determine the domain and range of a function given the graph of the function. Since the domain of a function is the set of all x-values we will want to identify how far left the graph goes as well as how far right to...