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CC Coordinate Algebra Unit 3a Linear and Exponential Functions Day 27 Name: Date: Linear vs. Exponential Functions Tasks Which option would you choose and why? Option 1: You can have $1000 a year.

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If we compare linear and exponential growth, we will see that over time, *any* exponential growth will surpass *any* linear growth, no matter how steep it is.

Linear functions are functions in which the rate of change is constant. Because you are getting the same amount of money each day, your change in money is the same. Doubling your initial one cent every day is an example of an exponential function.

A linear function increases by a constant amount (the value of its slope) in each time interval, while an exponential function increases by a constant percentage (or ratio) in each time interval. For example: The linear function f(x) = 2x increases by 2 (a constant slope) every time x increases by 1.

Linear growth occur by adding the same amount in each unit of time. Exponential growth happens when an initial population increases by the same percentage or factor over equal time increments or generations.

If the growth or decay involves increasing or decreasing by a fixed number, use a linear function. The equation will look like: y = mx + b f(x) = (rate) x + (starting amount). If the growth or decay is expressed using multiplication (including words like “doubling” or “halving”) use an exponential function.

What is the difference between linear and exponential functions? Linear functions change at a constant rate per unit interval. An exponential function changes by a common ratio over equal intervals.

0:05 4:10 Determine if a Table Represents a Linear or Exponential Function YouTube Start of suggested clip End of suggested clip So if x is increasing by a constant. Amount the function values will have a common difference anMoreSo if x is increasing by a constant. Amount the function values will have a common difference an exponential function fits the form f of x equals. A times b raised to the power of x.

How can you tell if a function is an exponential function? If your function can be written in the form y = a b x , where and are constants, a ≠ 0 , b > 0 , and b ≠ 1 , then it must be exponential.

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  • RAKING
  • LINEAR
  • graph
  • doubling
  • tasks
  • Algebra
  • continuous
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Form Packages
Adoption
Bankruptcy
Contractors
Divorce
Home Sales
Employment
Identity Theft
Incorporation
Landlord Tenant
Living Trust
Name Change
Personal Planning
Small Business
Wills & Estates
Packages A-Z
Form Categories
Affidavits
Bankruptcy
Bill of Sale
Corporate - LLC
Divorce
Employment
Identity Theft
Internet Technology
Landlord Tenant
Living Wills
Name Change
Power of Attorney
Real Estate
Small Estates
Wills
All Forms
Forms A-Z
Form Library
Customer Service
Terms of Service
DMCA Policy
About Us
Blog
Affiliates
Contact Us
Privacy Notice
Delete My Account
Site Map
All Forms
Search all Forms
Industries
Forms in Spanish
Localized Forms
Legal Guides
Real Estate Handbook
All Guides
Prepared for You
Notarize
Incorporation services
Our Customers
For Consumers
For Small Business
For Attorneys
Our Sites
US Legal Forms
USLegal
FormsPass
pdfFiller
signNow
airSlate workflows
DocHub
Instapage
Social Media
Call us now toll free:
1-877-389-0141
As seen in:
  • USA Today logo picture
  • CBC News logo picture
  • LA Times logo picture
  • The Washington Post logo picture
  • AP logo picture
  • Forbes logo picture
© Copyright 1997-2025
airSlate Legal Forms, Inc.
3720 Flowood Dr, Flowood, Mississippi 39232