Struggling with rational functions? Here are all of the tutorials I’ve made about rational functions. These posts should help point you in the right direction!
Now that you’ve mastered the basics of graphing rational functions, let’s get into some of the complicated details. Today we’ll discuss slant asymptotes and holes in the graph.
Now that we’ve covered some of the basics of rational functions, let’s dive into graphing them. In this post I’ll talk about how to graph basic rational functions, and in the next post I’ll explain how to deal with more complicated rational functions.
Today we cover some of the basics of rational functions. We’ll talk about what rational functions are, how to find their roots, how to find the y-intercept, how to determine the domain, and briefly discuss solving inequalities with rational functions.
This post is a summary of all of the polynomial tutorials on this site, put into an annotated order. This is your go-to place for learning about polynomials!
Now that we’ve got an idea about how to sketch factored polynomials, taking into account the end behavior and the crosses, bounces, and slides at the x-axis, let’s figure out how to deal with polynomials that start out in standard (un-factored) form.
When I learned how to sketch polynomials I felt like I had gained a superpower. For some reason it always struck me as such a neat thing to be able to do. As they say, with great power comes great responsibility, so I am responsibly sharing my superpower with you!
Today let’s work on graphing quadratic functions. A quadratic function is a quadratic equation where instead of 0 on one side of the equals sign, you have or . Remember: every point on a graph is an x, y pair that makes the function equation true. For purposes of demonstration, let’s use this function: First …
Three methods for solving quadratic equations: the quadratic formula (and a song!), using the zero product property, and using the square root method. Learn about all three techniques in this post!
“Completing the Square” is an algebra skill that you will need to use when you’re playing with quadratics, circles, and (other) conic sections. Once you get the hang of it it’s no big deal, but it can be a bit mystifying until then. Let’s clear it up, and then for a bonus, I’ll show you were the quadratic formula comes from.