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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.
आता तुम्ही हे गणित कोणतेही कॅल्क्युलेटर सोडवू शकत नाही, पण त्याचे भाग गणितीय आहेत. खालीलपैकी एकचा प्रयत्न करा किंवा स्वतःचे टाइप करा.
मोफत खाते प्रत्येक शिकवणी वर टिपण्णी जोडते, तुम्ही पूर्ण केलेल्या गोष्टीचा नोंदवही, तुमच्या सोडविलेल्या समस्या एका ठिकाणी, आणि या पानाच्या विषयी तुम्ही विचारू शकता अशा शिक्षकाला. गणित स्वतःच सर्वांसाठी खुले आहे, दाखलन झालेले असो किंवा नसो.
नोंदणी करा दाखलनयेथे वापरलेले चिन्ह
Tap any symbol for the full definition, a picture, and what every letter in it means.
लोक विचारतात ते प्रश्न
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.
या योजनेचे मुख्य उद्दिष्ट म्हणजे. OpenStax Precalculus 2e (CC BY-NC-SA 4.0). नंतर ते पुन्हा स्थिरावले आणि तेथेच ते स्थिरावले; म्हणजेच तेथेच ते स्थिरावले. याचे स्रोत अव्यावसायिक वापरासाठी परवानाकृत आहे, हा उपदेश मोफत आहे, काहीही विकत नाही, आणि त्याच परवानाखाली वाटला जातो.
अधिक माहिती Precalculus
Complex numbersPolynomial functionsRational functionsSequences and seriesThe binomial theoremConic sectionsVectorsExponential and logarithmic functionsPolynomial division and the remainder theoremParametric equations and polar coordinates