About this unit A function is like a machine that takes an input and gives an output. Let's explore how we can graph, analyze, and create different types of functions. Unit guides are here! …

Our horizontal asymptote is y is equal to zero so we can rule that one out. And that makes sense because really they only gave us enough information to figure out the horizontal asymptote.

Once we know a handful of parent functions, we can transform those functions to build related functions. Geometry swoops in as we translate, reflect, and dilate the graphs, working back …

Importantly, we can extend this idea to include transformations of any function whatsoever! This fascinating concept allows us to graph many other types of functions, like square/cube root, …

This topic covers: - Intercepts of linear equations/functions - Slope of linear equations/functions - Slope-intercept, point-slope, & standard forms - Graphing linear equations/functions - Writing …

I have a really hard time understanding if a graph is being compressed vertically or if it is being stretched horizontally and vice versa. You could make a case for both and the help feature on …

Learn how to find removable discontinuities, horizontal asymptotes, and vertical asymptotes of rational functions. This video explores the specific example f (x)= (3x^2-18x-81)/ (6x^2-54) …

This topic covers: - Unit circle definition of trig functions - Trig identities - Graphs of sinusoidal & trigonometric functions - Inverse trig functions & solving trig equations - Modeling with trig …

And what we're going to start off doing is just graph a plain vanilla function, f of x is equal to x squared. That looks as we would expect it to look, but now let's think about how we can shift it …

The derivative of a function describes the function's instantaneous rate of change at a certain point - it gives us the slope of the line tangent to the function's graph at that point.