For a given function, y = f(x), the function is known as an increasing function if the value of y increases as the value of x increases, and the function is known as a decreasing function if the value of y decreases as the value of x increases. Mathematically,

## What is the “Increasing and Decreasing Functions Worksheet (with Answer Key + pdf)”?

The Increasing and Decreasing Functions Worksheet (with Answer Key + pdf) is designed to first build the concept of differentiation and then use it to find the values of independent variables for which a function is increasing or decreasing. It contains problems on how we can find the intervals of increasing and decreasing functions via graphs or by solving mathematical equations.

## How will the “Increasing and Decreasing Functions Worksheet (with Answer Key + pdf)” help you?

The Increasing and Decreasing Functions Worksheet (with Answer Key + pdf) will enable learners to understand the concept of increasing and decreasing functions in mathematics via solved exercise and practice problems. It also has a reflection and evaluation section along with a challenge that will help learners construct their own word problem and solve it.

## Instructions on how to use the “Increasing and Decreasing Functions Worksheet (with Answer Key + pdf)”?

First learn the concept of increasing and decreasing functions through examples done in the first section and then practice problems given in the “Applying” section of this worksheet.

A reflective section at the end of the worksheet is provided to help the learner reflect his own thinking and assess how they performed in the lesson.

Lastly, the learner has to design his own method of finding the intervals on which a function is increasing or decreasing.

## Conclusion

The Increasing and Decreasing Functions Worksheet (with Answer Key + pdf) has solved and practice problems on finding intervals of increasing and decreasing functions to increase the problem solving skills of learners. It also motivates learners to come up with his own way of finding increasing and decreasing functions.

If you have any questions or comments, please let us know.