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Comparing Functions in Different Formats

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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

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 x1 is not equal to x2 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

  • Quiz 1 - Compare these bad boys.
  • Quiz 2 - The input-output table shows the x - and y -values of a quadratic function. See if you can some sense of this.
  • Quiz 3 - One more to knock home the skill for yourself. Remind that when analyzing everything.