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Introduction to Linear Functions
Introduction to Linear Functions — from OpenStax Precalculus 2e.
Introduction to Linear Functions
Imagine placing a plant in the ground one day and finding that it has doubled its height just a few days later. Although it may seem incredible, this can happen with certain types of bamboo species. These members of the grass family are the fastest-growing plants in the world. One species of bamboo has been observed to grow nearly 1.5 inches every hour.http://www.guinnessworldrecords.com/records-3000/fastest-growing-plant/ In a twenty-four hour period, this bamboo plant grows about 36 inches, or an incredible 3 feet! A constant rate of change, such as the growth cycle of this bamboo plant, is a linear function.
Recall from Functions and Function Notation that a function is a relation that assigns to every element in the domain exactly one element in the range. Linear functions are a specific type of function that can be used to model many real-world applications, such as plant growth over time. In this chapter, we will explore linear functions, their graphs, and how to relate them to data.
ឥឡូវអ្នក គ្មានម៉ាស៊ីនគិតលេខដែលអាចដោះស្រាយបញ្ហានេះបានទេ ប៉ុន្តែវាអាចគណនាបាន ។ ព្យាយាមមួយខាងក្រោម ឬវាយរបស់អ្នកផ្ទាល់ ។
គណនីឥតគិតថ្លៃបន្ថែមចំណាំលើមេរៀននីមួយៗ កំណត់ហេតុនៃអ្វីដែលអ្នកបានបញ្ចប់ បញ្ហាដែលអ្នកបានដោះស្រាយនៅកន្លែងមួយ និងគ្រូដែលអ្នកអាចសួរអំពីទំព័រនេះ ។ គណិតវិទ្យាដោយខ្លួនវាគឺបើកចំហសម្រាប់អ្នកទាំងអស់គ្នា ចុះឈ្មោះចូល ឬមិនចុះឈ្មោះចូល ។
ចុះឈ្មោះ ចូលនិមិត្តសញ្ញាដែលបានប្រើនៅទីនេះ
ចុចនិមិត្តសញ្ញាណាមួយសម្រាប់ការកំណត់ពេញលេញ រូបភាព និងតួអក្សរនីមួយៗមានន័យអ្វី ។
សំណួរដែលមនុស្សសួរ
What is a function, really?
A rule that assigns exactly one output to each input. The vertical-line test on a graph is the same idea: no input may have two outputs.
Why do we need complex numbers?
Because x² + 1 = 0 has no real solution, and allowing one new number i with i² = −1 makes every polynomial equation solvable. They then turn out to describe rotation, waves and alternating current more naturally than real numbers do.
ផ្នែកនៃទំព័រនេះត្រូវបានកែប្រែពី OpenStax Precalculus 2e (CC BY-NC-SA 4.0). បន្សំនិងពន្យល់នៅទីនេះឡើងវិញ កំហុសគឺរបស់យើង ។ ដោយសារប្រភពរបស់វាត្រូវបានអនុញ្ញាតសម្រាប់ការប្រើមិនជាពាណិជ្ជកម្ម មេរៀននេះគឺឥតគិតថ្លៃ លក់អ្វីទាំងអស់ ហើយត្រូវបានចែករំលែកក្រោមអាជ្ញាប័ណ្ណដូចគ្នា ។
បន្ថែមទៀតក្នុង Precalculus
Complex numbersPolynomial functionsRational functionsSequences and seriesThe binomial theoremConic sectionsVectorsExponential and logarithmic functionsPolynomial division and the remainder theoremParametric equations and polar coordinates