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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.
الآن أنت لا توجد آلة حسابية تقوم بتسوية هذا الحساب، ولكن أجزاءه قابلة للحساب. جرب أحد الحلول أدناه، أو أكتب حلك الخاص.
الرموز المستخدمة هنا
لمس أي رمز للحصول على التعريف الكامل، والصورة، وما يعنيه كل حرف في ذلك.
أسئلة يطرحها الناس
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.
أجزاء من هذه الصفحة مستمدة من OpenStax Precalculus 2e (CC BY-NC-SA 4.0). لقد تم تلخيصها وإعادة شرحها هنا؛ والأخطاء هي أخطائنا. وبما أن مصدره مرخص للاستخدام غير التجاري، فإن هذا الدرس مجاني، ولا يبيع شيئاً، ويجري تقاسمه بموجب نفس الترخيص.
أكثر في Precalculus
Complex numbersPolynomial functionsRational functionsSequences and seriesThe binomial theoremConic sectionsVectorsExponential and logarithmic functionsPolynomial division and the remainder theoremParametric equations and polar coordinates