Explicit Functions: Definition & Examples


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question 1 of 3

Write the following equation as an explicit function:

12x + 3y = 21

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1. Write an explicit equation for an arithmetic sequence with first term of 3 and a common difference of 10. Use the general explicit rule for an arithmetic sequence: a(n) = a(1) + (n - 1)d


Write an explicit equation for the following arithmetic sequence:

5, 9, 13, 17, 21, ...

Use the general explicit rule for an arithmetic sequence: a(n) = a(1) + (n - 1)d

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About This Quiz & Worksheet

Explicit functions are mathematical functions that are expressed as clearly as possible. This quiz and worksheet combo will help you test your understanding of these expressions. The quiz questions will test you on how to write explicit functions and how to define terms in explicit functions.

Quiz & Worksheet Goals

In these assessments, you'll be tested on:

  • Writing explicit functions
  • Defining terms in explicit functions
  • Using geometric and arithmetic sequences to analyze explicit functions

Skills Practiced

This quiz and worksheet will allow you to test the following skills:

  • Reading comprehension - ensure that you draw the pertinent information on explicit functions from the related lesson
  • Critical thinking - apply relevant concepts, such as functions, to examine information about explicit functions in a different light
  • Problem solving - use acquired knowledge to solve explicit function practice problems
  • Knowledge application - use your knowledge to answer questions about geometric and arithmetic sequences in explicit functions

Additional Learning

To learn more about explicit functions, review the accompanying lesson Explicit Functions: Definition & Examples. This lesson covers the following objectives:

  • Define explicit functions
  • Define geometric and arithmetic functions
  • Understand how to examine explicit functions using geometric and arithmetic functions
  • Understand the relationship between variables within explicit functions