Linear quadratic and exponential models

Comparing Linear, Quadratic & Exponential Models

linear quadratic and exponential models

Construct and compare linear, quadratic, and exponential models and solve problems. Construct linear and exponential functions, including arithmetic and .

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This question is testing one's ability to identify and prove whether situations and their functions are linear or exponential. The key concept in questions like these, is understanding and recognizing that linear functions grow by equal differences over intervals, where as exponential functions grow by equal factors over intervals. Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question. In this particular case the amount of increase depends on the monthly allowance. Therefore, the increase is by a percentage. In this particular case Johnny's age can be written as a function of Jane's age.

Take a look at how you identify exponential behavior from a pattern in your data. You'll also see how to figure out if that pattern represents exponential growth or exponential decay. Check it out! If something increases at a constant rate, you may have exponential growth on your hands. In this tutorial, learn how to turn a word problem into an exponential growth function. Then, solve the function and get the answer! If something decreases in value at a constant rate, you may have exponential decay on your hands.

If you're seeing this message, it means we're having trouble loading external resources on our website. To log in and use all the features of Khan Academy, please enable JavaScript in your browser. Functions: Linear, Quadratic, and Exponential Models questions 5 skills. Distinguish between situations that can be modeled with linear functions and with exponential functions. Understanding linear and exponential models. Prove that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals.

Log in or sign up to add this lesson to a Custom Course. Log in or Sign up. Suppose you go to a track meet to watch your friends Beth, Marla, and Tracy compete in a 5K race. The gun goes off and you watch each of your friends run their best. You notice that throughout the race, your friend's race strategies are different. Beth speeds up steadily, seems to peak, and then slows down steadily until the finish.

This question is testing one's ability to identify and prove whether situations and their functions are linear or exponential. The key concept in questions like these, is understanding and recognizing that linear functions grow by equal differences over intervals, where as exponential functions grow by equal factors over intervals. Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question. In this particular case the amount of increase depends on the monthly allowance. Therefore, the increase is by a percentage. In this particular case Johnny's age can be written as a function of Jane's age. Recall that for a statement to be linear it must show growth of a constant difference.



Common Core: High School - Functions : Linear, Quadratic, & Exponential Models*

Understanding linear and exponential models - Functions and their graphs - Algebra II - Khan Academy

CCSS High School: Functions (Linear, Quadratic, Exponential)

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2 thoughts on “Linear quadratic and exponential models

  1. Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output.

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