Lesson 1100 of 1524
Polynomial and Rational Functions
To plot a complex number, we use two number lines, crossed to form the complex plane.
Practice this chapterTo plot a complex number, we use two number lines, crossed to form the complex plane. To divide complex numbers, multiply both the numerator and denominator by the complex conjugate of the denominator to eliminate the complex number from the denominator
The horizontal axis is the real axis, and the vertical axis is the imaginary axis Complex numbers can be added and subtracted by combining the real parts and combining the imaginary parts
rational function — a function that can be written as the ratio of two polynomials. complex conjugate — the complex number in which the sign of the imaginary part is changed and the real part of the number is left unchanged; when added to or multiplied by the original complex…. complex number — the sum of a real number and an imaginary number, written in the standard form a + b i , where a is the real part, and b i is the imaginary part. complex plane — a coordinate system in which the horizontal axis is used to represent the real part of a complex number and the vertical axis is used to represent the imaginary part of a complex….
Be able to graph rational functions by finding the intercepts, behavior at the intercepts and asymptotes, and end behavior.
Worked example
What does “rational function” mean in Polynomial and Rational Functions?
- 1Use the wording this chapter gives for rational function.
- 2The book says: a function that can be written as the ratio of two polynomials.
- 3Do not use the meaning of complex conjugate. That term means the complex number in which the sign of the imaginary part is changed and the real part of the number is left unchanged; when added to or multiplied by the original complex….
Result: a function that can be written as the ratio of two polynomials
Why. That is the meaning this chapter gives for rational function.
Do not swap rational function and complex conjugate. rational function means a function that can be written as the ratio of two polynomials. complex conjugate means the complex number in which the sign of the imaginary part is changed and the real part of the number is left unchanged; when added to or multiplied by the original complex….
Practice margin
This chapter
A fresh set from this chapter only. Choose 10 or 20. Multiple choice and fill-in, with no repeat inside the set.