Calculus/AP Calculus Tutorial: Sketch Function Graph by Hand - Example 2 - Learn Mathematics

Published: 09 September 2023
on channel: Aleksandar Haber PhD
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In this calculus, mathematics, and AP calculus tutorial, we explain how to sketch a graph of a rational function. We explain how to determine
a) Zeros of the function
b) Horizontal asymptotes
c) Vertical asymptotes
d) Function monotonicity (where the function increases and decreases).

The problem solved in this video tutorial is very important for students who want to master basic and advanced calculus topics, as well as students who want to prepare themselves for the Advanced Placement Calculus exam. That is, for the AP Calculus exam.

We need to mention that all engineers, physicists, and scientists, need to know how to sketch basic functions by hand. This is a fundamental skill that is necessary for the engineering profession. Furthermore by learning how to sketch a function, one can obtain a deep and intuitive understanding of mathematics and the behavior of functions.

By practicing this problem you can also prepare yourself for the Advanced Placement (AP) exam

- AP Physics 1: Algebra-Based
- AP Physics 2: Algebra-Based
- AP Physics C: Mechanics
- AP Calculus AB
- Physics and Advanced Placement (AP) Calculus - AP Physics and AP Calculus


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