## Comparing Functions in Different Formats

#### Aligned To Common Core Standard:

**High School Interpreting Functions** - HSF-IF.C.9

How to Compare Functions in Different Formats? Comparing functions is important because it helps us improve our concepts of functions. Furthermore, it also provides you multiple ways to solve a function rather than one. There are different types of functions that we regularly use in different formats. A function can either be in the form of an input-output table or the form of a graph or the form of an equation. Let us take an example. Two contestants on the "Biggest Loser" are Sarah and Noah. Their weight-loss progress is stated below. Sarah's weight-loss progress is shown in the form of an equation, where t is the time in weeks, and W is her weight. W = 170 - 2.5t Noah's weight-loss is tracked as: 0 Week, 230 Weight (pounds) | 0 Week, 230 Weight (pounds) | 2 Week, 228 Weight (pounds) | 4 Week, 226 Weight (pounds) | 6 Week, 224 Weight (pounds) If we consider the comparison of both contestants, you can see that Sarah's losing 2.5 pounds every week, while Noah is losing 1 pound every week. This collection of worksheets and lessons will get students comfortable with understanding functions that are expressed in different formats.

### Printable Worksheets And Lessons

- Input-Output Versus
a Graph Step-by-step Lesson- This is why so many industries
have made set ways to display data.

- Guided Lesson
- This is definitely a valuable skill to master when you are examining
company stocks.

- Guided Lesson
Explanation - Choosing just two points will usually settle it
for you, but not always.

- Practice Worksheet
- I stuck with the Input-Output and graph comparison because it
is very commonly used on National exams.

- Matching Worksheet
- This one is more concerned about the growth curves and not the
values.

#### Homework Sheets

Analyze tables and premade graphs to see and compare trends.

- Homework 1 - Two functions are represented in different ways. Which function grows faster for large positive values of x? We will walk you through a complete problem.
- Homework 2 - When compared to another set of data. Slop intercept form is defined as y= mx + b m = slope b = y-intercept (where the line cross the y-axis)
- Homework 3 - Find two points where x
^{1}is not equal to x^{2}for both functions. In this case they are represented by a data table and a graph.

#### Practice Worksheets

The practice sheets add the concept of understanding the trends of the graphs.

- Practice 1 - From the two functions, which function grows faster for large positive values of x? You will compare a quadratic and linear function.
- Practice 2 - Which function is moving to the right faster? It may be better stated as which is moving less to the left.
- Practice 3 - The focus is on positive movement, please note that.

#### Math Skill Quizzes

We tried to make these questions as black and white as possible. We didn't want to confuse students