Day 1
... 2. Find the domain and range of the following functions. (a) f : [r, s, t, u] → [A, B, C, D, E] where f (r) = A, f (s) = B, f (t) = B, and f (u) = E (b) g(t) = t4 (c) f (x) = −x 3. Determine whether the equation defines y as a function of x. (a) x = y 3 (b) x2 + y = 9 4. Sketch f (x) = x2 − 4. Deter ...
... 2. Find the domain and range of the following functions. (a) f : [r, s, t, u] → [A, B, C, D, E] where f (r) = A, f (s) = B, f (t) = B, and f (u) = E (b) g(t) = t4 (c) f (x) = −x 3. Determine whether the equation defines y as a function of x. (a) x = y 3 (b) x2 + y = 9 4. Sketch f (x) = x2 − 4. Deter ...
Business Calculus Summer Assignment 2016
... complete the included problems by September 1, 2016. All of these topics were discussed in either Algebra II or Precalculus and will be used frequently throughout the year. All problems that you are to complete are marked in bold. All problems are expected to be completed. You will be tested on this ...
... complete the included problems by September 1, 2016. All of these topics were discussed in either Algebra II or Precalculus and will be used frequently throughout the year. All problems that you are to complete are marked in bold. All problems are expected to be completed. You will be tested on this ...
Add, Subtract, Multiply, and Divide Functions
... comes out. The value g (x) then goes into function f , which transforms g (x) into f (g (x)) ("f of g of x"). If the function machines for g and f were connected to make a single machine, that machine would be named f ...
... comes out. The value g (x) then goes into function f , which transforms g (x) into f (g (x)) ("f of g of x"). If the function machines for g and f were connected to make a single machine, that machine would be named f ...
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.