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.
Tagad tu Neviens kalkulators nenoslīgst šo, bet tā gabali ir komplējami. Izmēģiniet vienu zemāk vai ievadiet paši savu.
Bezmaksas konts pievieno piezīmes par katru nodarbību, ierakstu par to, ko esat pabeidzis, jūsu atrisinātās problēmas vienā vietā, un pasniedzēju, kuru varat jautāt par šo lapu. Pati matemātika ir pieejama ikvienam, kas ir vai nav parakstījies.
Pierakstīties PieteikšanāsŠeit izmantotie simboli
Piesitiet visiem simboliem, kas apzīmē pilnu definīciju, attēlu un ko katrs burts tajā nozīmē.
Jautājumi, ko cilvēki vaicā
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.
Daļas šīs lapas ir pielāgotas no OpenStax College Algebra 2e (CC BY-NC-SA 4.0). Šeit ir pārliecināts un vēlreiz izskaidrots; kļūdas ir mūsu. Tā kā tās avots ir licencēts nekomerciālai izmantošanai, šī nodarbība ir bezmaksas, to nekas nepārdod un tiek dalīta ar to pašu licenci.
Vairāk Algebra
Linear equationsQuadratic equationsSystems of equationsInequalitiesFactoringExpandingSimplifying expressionsFunctions and graphsExponential and logarithmic equationsPolynomial equationsAbsolute value