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Introduction to Polynomial and Rational Functions
Introduction to Polynomial and Rational Functions — from OpenStax Precalculus 2e.
Introduction to Polynomial and Rational Functions
You don't need to dive very deep to feel the effects of pressure. As a person in their neighborhood pool moves eight, ten, twelve feet down, they often feel pain in their ears as a result of water and air pressure differentials. Pressure plays a much greater role at ocean diving depths.
Scuba and free divers are constantly negotiating the effects of pressure in order to experience enjoyable, safe, and productive dives. Gases in a person's respiratory system and diving apparatus interact according to certain physical properties, which upon discovery and evaluation are collectively known as the gas laws. Some are conceptually simple, such as the inverse relationship regarding pressure and volume, and others are more complex. While their formulas seem more straightforward than many you will encounter in this chapter, the gas laws are generally polynomial expressions.
Introduction to Polynomial and Rational Functions
You don't need to dive very deep to feel the effects of pressure. As a person in their neighborhood pool moves eight, ten, twelve feet down, they often feel pain in their ears as a result of water and air pressure differentials. Pressure plays a much greater role at ocean diving depths.
Scuba and free divers are constantly negotiating the effects of pressure in order to experience enjoyable, safe, and productive dives. Gases in a person's respiratory system and diving apparatus interact according to certain physical properties, which upon discovery and evaluation are collectively known as the gas laws. Some are conceptually simple, such as the inverse relationship regarding pressure and volume, and others are more complex. While their formulas seem more straightforward than many you will encounter in this chapter, the gas laws are generally polynomial expressions.
ປັດຈຸບັນທ່ານ ບໍ່ມີເຄື່ອງຄິດໄລ່ທີ່ຈະແກ້ໄຂບັນຫານີ້ໄດ້, ແຕ່ສ່ວນຂອງມັນສາມາດຄິດໄລ່ໄດ້. ພະຍາຍາມອັນໃດອັນໜຶ່ງຂ້າງລຸ່ມນີ້ ຫຼື ພິມຕົວເອງເອງ.
ຕົວສະແດງທີ່ໃຊ້ຢູ່ທີ່ນີ້
ກົດຕົວອັກສອນໃດໜຶ່ງເພື່ອເບິ່ງຄວາມໝາຍເຕັມ, ຮູບ ແລະ ຕົວອັກສອນແຕ່ລະຕົວໃນມັນໝາຍຄວາມວ່າແນວໃດ.
ຄໍາຖາມທີ່ຄົນຖາມ
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.
ບາງສ່ວນຂອງ ໜ້າ ນີ້ ຖືກປັບແຕ່ງຈາກ OpenStax College Algebra 2e (CC BY-NC-SA 4.0), OpenStax Precalculus 2e (CC BY-NC-SA 4.0). ຖືກປະສົມປະສານແລະອະທິບາຍຄືນໃໝ່ທີ່ນີ້; ຄວາມຜິດພາດແມ່ນຂອງເຮົາ. ເນື່ອງຈາກແຫຼ່ງຂອງມັນຖືກອະນຸຍາດໃຫ້ໃຊ້ເພື່ອບໍ່ໃຫ້ເປັນການຄ້າ, ບົດຮຽນນີ້ແມ່ນຟຣີ, ບໍ່ຂາຍຫຍັງ, ແລະ ແບ່ງປັນພາຍໃຕ້ອະນຸຍາດດຽວກັນ.
ເພີ່ມເຕີມໃນ Precalculus
Complex numbersPolynomial functionsRational functionsSequences and seriesThe binomial theoremConic sectionsVectorsExponential and logarithmic functionsPolynomial division and the remainder theoremParametric equations and polar coordinates