# Ch 1: Graphing and Functions

Watch video lessons on graphing and functions to learn polynomial functions, exponentials and logarithms, implicit functions and more. These lessons also come with quick quizzes so you can test your understanding of graphing and functions.

## Calculus: Graphing and Functions

In this video lesson series on graphing and functions, you'll learn about the most important pillar of calculus - functions - and understand how to properly graph them. Essentially, functions have an input and an output, which match a set of numbers to another set of numbers. The input (x) and output (y) make up the common function notation, y = f(x). With functions, you'll learn how to determine the domain and range, which are all possible input values and all possible output values, respectively.

Now, it's important to understand the different parts of the graph, which can be thought of as a mathematical map. You'll learn the parts of the Cartesian plane, which include the horizontal x-axis, the vertical y-axis and four quadrants. You'll also learn how to plot points through x and y coordinates, which act like a map's latitude and longitude. Point-slope formula will help you determine the steepness of a graphed line and you'll see how inverse functions create mirror images of functions on a graph.

Your knowledge of functions will then increase through lessons on inverse functions, functions of functions, compounding functions, exponentials and logarithms, slopes and tangents, implicit functions, horizontal and vertical asymptotes, factoring and composite functions.

Sound like a lot? Well, with several mathematical stories and animated graphics included in these videos, the complexities of calculus may be easily understood through these lessons.

Final Exam
Chapter Exam

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### Other Chapters

Other chapters within the Math 104: Calculus course

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