# 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.

11 Lessons in Chapter 1: Graphing and Functions
Test your knowledge with a 30-question chapter practice test
Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
Not Taken
Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

### Earning College Credit

Did you know… We have over 200 college courses that prepare you to earn credit by exam that is accepted by over 1,500 colleges and universities. You can test out of the first two years of college and save thousands off your degree. Anyone can earn credit-by-exam regardless of age or education level.