14 Radicals Packet Part 2
... Domain Restrictions based on an equation: 1. Dividing by zero is undefined: a denominator can NEVER be equal to zero. 2. The square root of a negative number does not exist . . . we NEVER put a negative number under a square root (unless we are dealing in complex numbers). We will look at Case #1 in ...
... Domain Restrictions based on an equation: 1. Dividing by zero is undefined: a denominator can NEVER be equal to zero. 2. The square root of a negative number does not exist . . . we NEVER put a negative number under a square root (unless we are dealing in complex numbers). We will look at Case #1 in ...
Polynomial functions right- and left
... b.) Identify the degree of the function c.) Identify the leading coefficient d.) Describe the left-hand behavior (what happens to y as x goes to negative infinity) and right-hand behavior (what happens to y as x goes to positive infinity) 1.) y = x3 - x + 1 ...
... b.) Identify the degree of the function c.) Identify the leading coefficient d.) Describe the left-hand behavior (what happens to y as x goes to negative infinity) and right-hand behavior (what happens to y as x goes to positive infinity) 1.) y = x3 - x + 1 ...
Trigonometric Functions The Unit Circle
... We learned that to every real number, we can assign a point (the terminal point) on the unit circle. We use the x and y coordinates of this point to define several functions. Let P (x, y) be the point on the unit circle defined by t. The trigonometric functions are defined as follows: 1. The functio ...
... We learned that to every real number, we can assign a point (the terminal point) on the unit circle. We use the x and y coordinates of this point to define several functions. Let P (x, y) be the point on the unit circle defined by t. The trigonometric functions are defined as follows: 1. The functio ...
Function of several real variables
In mathematical analysis, and applications in geometry, applied mathematics, engineering, natural sciences, and economics, a function of several real variables or real multivariate function is a function with more than one argument, with all arguments being real variables. This concept extends the idea of a function of a real variable to several variables. The ""input"" variables take real values, while the ""output"", also called the ""value of the function"", may be real or complex. However, the study of the complex valued functions may be easily reduced to the study of the real valued functions, by considering the real and imaginary parts of the complex function; therefore, unless explicitly specified, only real valued functions will be considered in this article.The domain of a function of several variables is the subset of ℝn for which the function is defined. As usual, the domain of a function of several real variables is supposed to contain an open subset of ℝn.