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Putting the Fun in Fundamental Understandings of Functions

Submitted Assignment 2017 19 Pages

Mathematics - Algebra

Excerpt

Table of Contents

Defintions of unit vocabulary

Function Notation

Interpreting Linear and Exponential Functions Arising in Applications

Analyzing Linear and Exponential Functions

Building Functions

Constructing and Comparing Linear and Exponential models

Reflection

Bibliography

Defintions of unit vocabulary

Sequence - A list of numbers or objects in a specific order

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In this image the states of the apples represent the numbers in sequence, they can either increase, decrease, or stay the same.

Geometric Sequence - Ordered list of numbers where next number is found by multiplying a number by the previous number.

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In this particular sequence, each number is multiplied by two to find the number that follows.

Arithmetic Sequence - Ordered list of numbers where next number is found by adding (or subtracting) a number from it.

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In the first sequence, the values are increasing by 2, while in the second sequence they increase by 3.

Common Difference - The difference between two consecutive numbers in an arithmetic sequence.

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The common difference is five, as the values in the sequence increase by 5 every time.

Common Ratio - The ratio of a number in a geometric sequence to the preceding number in the sequence.

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The common ratio of this sequence is 2, as each number in the sequence is multiplied by 2 to get the next.

Explicit Definition - Representing a sequence with a formula that can determine any term in the sequence without knowing any other terms.

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The explicit defintion of this sequence a n =10+5n. This way you can find any term in the sequence without knowing any other.

Recursive Definition - Representing a sequence by describing the relationship between a term and its successive terms.

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This sequence is defined recursively as each number in the sequence is needed to find the next one.

Exponential Functions - Function where the variable is an exponent.

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This function is exponential as it has the variable x as it ´ s exponent

Even Functions - Functions that are symmetric to the y-axis [thus contains the points (x,y) and (- x,y)] .

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This is an even function because, as you can see, it contains the points x,y &

-x,y

[...]

Details

Pages
19
Year
2017
ISBN (eBook)
9783668440098
ISBN (Book)
9783668440104
File size
1.5 MB
Language
English
Catalog Number
v358732
Grade
8
Tags
putting fundamental understandings functions

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Title: Putting the Fun in Fundamental Understandings of Functions