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Calculus 1

Determining the Shape of a Function

Intensify your analytical skills with concepts such as Proof of the Increasing/Decreasing Test, Interval Charts, and Determining Absolute Extreme Values in our Determining the Shape of a Function course. Designed to explore the intricate details of inputs and possible outputs, you will learn the graphic rules in Downward Concavity On an Interval and Upward Concavity On an Interval to establish solid comprehension of visual representation of functions. Explore The First Derivative Test and further expand the rules in the topic, The First Derivative Test and the Increasing/Decreasing Test. By exploring, testing and graphing functions, you will be prepared for more sophisticated areas within Calculus 1.

Sophia's Common Core-Aligned Pathways and Tutorials

We want to make it simple for you to begin integrating Common Core-Aligned Lessons into your classroom Our Math Pathways feature in-depth, relevant content that aligns to these new standards. As an added benefit, these Pathways use Sophia’s Many Ways To Learn, an innovative approach that features multiple instructors and teaching techniques to connect with all kinds of learning styles.

Mathematics Courses for College Credit

Sophia College Courses are low-cost, self-paced, credit-carrying courses eligible for transfer to many different colleges and universities.*

College Algebra

Study fundamental topics in college-level algebra with emphasis on application.

Introduction to Statistics

Grasp core concepts of statistics such as probability distributions, approximations, and hypothesis-testing.

Pathways that Teach Determining the Shape of a Function

Pathways are a sequence of tutorials that help you learn a whole subject area, one concept at a time. Choose from multiple teachers and teaching styles.
Concepts: 14
Quiz Points: 195
The American Council on Education's College Credit Recommendation Service (ACE Credit®) has evaluated and recommended college credit for 25 of Sophia's online courses for college credit. These courses are eligible to transfer to many different colleges and universities.