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Introduction to Functions
Introduction to Functions — from OpenStax Precalculus 2e.
Introduction to Functions
Toward the end of the twentieth century, the values of stocks of internet and technology companies rose dramatically. As a result, the Standard and Poor’s stock market average rose as well. The graph above tracks the value of that initial investment of just under $100 over the 40 years. It shows that an investment that was worth less than $500 until about 1995 skyrocketed up to about $1,100 by the beginning of 2000. That five-year period became known as the “dot-com bubble” because so many internet startups were formed. As bubbles tend to do, though, the dot-com bubble eventually burst. Many companies grew too fast and then suddenly went out of business. The result caused the sharp decline represented on the graph beginning at the end of 2000.
Notice, as we consider this example, that there is a definite relationship between the year and stock market average. For any year we choose, we can determine the corresponding value of the stock market average. In this chapter, we will explore these kinds of relationships and their properties.
Sada ti Nema kalkulatora koji bi riješio ovaj problem, ali njegovi dijelovi se mogu izračunati. Pokušajte jedan od gore navedenih ili upišite svoj.
Besplatni račun dodaje bilješke na svaku lekciju, zapis onoga što ste završili, vaše riješene probleme na jednom mjestu, i tutora kojeg možete pitati o ovoj stranici. Sama matematika je otvorena za svakoga, prijavljenog ili ne.
Prijavite se PrijavaSimboli korišteni ovdje
Dodirnite bilo koji simbol za potpunu definiciju, sliku i što svako slovo u njemu znači.
Pitanja koja ljudi postavljaju
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.
Dio ove stranice je prilagođen sa OpenStax Precalculus 2e (CC BY-NC-SA 4.0). U ovom slučaju, greške su naše. Budući da je izvor licenciran za nekomercijalnu upotrebu, ova lekcija je besplatna, ne prodaje ništa i dijeli se pod istom licencom.
Više u Precalculus
Complex numbersPolynomial functionsRational functionsSequences and seriesThe binomial theoremConic sectionsVectorsExponential and logarithmic functionsPolynomial division and the remainder theoremParametric equations and polar coordinates