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Name: Date: Algebra 1B Linear vs. Exponential ContinuedLinear vs. Exponential Word Problems At separate ti es i the ourse, ou e lear ed a out li ear fu tio s a d e po e tial fu tio s, a d do e ord.

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How to fill out the Exponential Continued online

Filling out the Exponential Continued form is an essential task for students learning about linear and exponential functions. This guide will help you navigate the process of completing the form online with ease and clarity.

Follow the steps to complete the Exponential Continued form online.

  1. Use the 'Get Form' button to access the form and open it in your preferred editor.
  2. Begin with the section where you enter your name and the date. Ensure this information is accurate as it will be associated with your submission.
  3. Read the instructions carefully in the Linear vs. Exponential sections. Understand the difference between linear and exponential functions, as this will guide your choices in the subsequent fields.
  4. In the practice problems, you will need to determine whether each scenario represents a linear or exponential function. To do this, analyze each description and circle the appropriate label (linear or exponential) before writing the function formula accordingly.
  5. For the tables provided, analyze the values given for 'x' and 'y'. Circle whether the table represents a linear or exponential function and write down the corresponding function formula based on your analysis.
  6. Complete additional tasks, such as calculating and writing function formulas as instructed throughout the problems. Make sure to explain your reasoning whenever necessary.
  7. Once you have filled out all sections and double-checked your work, you can save changes to the form, download it, print it for your records, or share it as required.

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Continuous Exponential Growth/Decay Formula: The formula for continuous exponential growth/decay is given by P=P0ekt P = P 0 e k t where P is the ending amount, P0 is the starting amount, k is the growth/decay rate, and t is time.

Exponential functions are a lot like geometrical sequences. The main difference between them is that a geometric sequence is discrete while an exponential function is continuous.

There are two types of exponential growth, and it's easy to mix them up: Discrete growth: change happens at specific intervals. Continuous growth: change happens at every instant.

All of these functions all exponential functions are continuous everywhere. They're defined for all real numbers so... all of them are continuous from negative infinity to infinity.

On the basis of the assumption that the exponential function y=bx,b>0 is continuous everywhere and differentiable at 0, this function is differentiable everywhere and there is a formula for its derivative.

A function which models exponential growth or decay can be written in either the form P(t) = P0bt or P(t) = P0ekt. In either form, P0 represents the initial amount. The form P(t) = P0ekt is sometimes called the continuous exponential model. The constant k is called the continuous growth (or decay) rate.

Steps for How to Determine if an Exponential Function is Continuous at Every Point in Its Domain. Step 1: Determine if there are any rational expressions in the function. Step 2: If there are any rational expressions, determine if there are any values of x that make the function undefined.

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