Compare Functions Represented Differently
Overview
The same function can be presented in four different ways: as an algebraic rule, as a graph, as a table of values, or as a description in words. A real skill of the functions topic is being able to read each representation and compare functions even when they are dressed in different forms.
In this lesson you will compare properties of two functions each represented in a different way. You will read features such as the rate of change, the starting value and the output at a point from a graph, a table, a formula or words, and use them to decide which function is larger, steeper or faster.
Objectives
- Compare properties of two functions each represented in a different way (algebraically, graphically, numerically or in words).
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Lesson Note
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Lesson Evaluation
Congratulations on completing the lesson on Compare Functions Represented Differently. Now that youve explored the key concepts and ideas, its time to put your knowledge to the test. This section offers a variety of practice questions designed to reinforce your understanding and help you gauge your grasp of the material.
You will encounter a mix of question types, including multiple-choice questions, short answer questions, and essay questions. Each question is thoughtfully crafted to assess different aspects of your knowledge and critical thinking skills.
Use this evaluation section as an opportunity to reinforce your understanding of the topic and to identify any areas where you may need additional study. Don't be discouraged by any challenges you encounter; instead, view them as opportunities for growth and improvement.
- For y = 3x + 2, the rate of change is: A. 1 B. 2 C. 3 D. 5 Answer: C
- A table shows y = 1, 5, 9, 13 for x = 0, 1, 2, 3. Its rate of change is: A. 1 B. 3 C. 4 D. 5 Answer: C
- For y = 3x + 2, the starting value (y when x = 0) is: A. 0 B. 2 C. 3 D. 5 Answer: B
- Function A is y = 3x + 2; function B from a table rises by 4 per step. Which is steeper? A. A B. B C. They are equal D. Cannot tell Answer: B
- To compare which of two functions is steeper, you compare their: A. starting values B. rates of change C. domains D. names Answer: B
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