maths.free › Algebra › Linear Functions › Introduction to Linear Functions
Introduction to Linear Functions
Introduction to Linear Functions — from OpenStax College Algebra 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 does it mean to solve an equation?
To find every value of the unknown that makes both sides equal. Each step is an operation applied to both sides that keeps the solution set the same, until the unknown stands alone.
Why do I sometimes get two answers?
A quadratic can cross the axis twice, so it can have two solutions. A degree-n polynomial has up to n. The graph shows where each one comes from.
How do I know whether to factor or use the quadratic formula?
Try factoring for a few seconds: look for two numbers that multiply to a·c and add to b. If nothing obvious appears, the discriminant b² − 4ac tells you how many real roots there are, and the formula finds them without guessing.
أجزاء من هذه الصفحة مستمدة من OpenStax College Algebra 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 Algebra
Linear equationsQuadratic equationsSystems of equationsInequalitiesFactoringExpandingSimplifying expressionsFunctions and graphsExponential and logarithmic equationsPolynomial equationsAbsolute value