Graphing Square Root Functions
... Since a radicand can’t be negative (you can’t square a negative value), the domain (x values) is limited to those values of x that make the radicand greater than or equal to zero. Therefore, you can create a function table to graph the solutions with x being values that make the expression inside th ...
... Since a radicand can’t be negative (you can’t square a negative value), the domain (x values) is limited to those values of x that make the radicand greater than or equal to zero. Therefore, you can create a function table to graph the solutions with x being values that make the expression inside th ...
LESSON 1-3
... 1. y-axis: substituting a number and its opposite for x give the same y-value 2. x-axis: substituting a number and its opposite for y give the same x-value 3. origin: substituting a number and its opposite for x give opposite y-values ...
... 1. y-axis: substituting a number and its opposite for x give the same y-value 2. x-axis: substituting a number and its opposite for y give the same x-value 3. origin: substituting a number and its opposite for x give opposite y-values ...
POWER SERIES
... 1. Locate the critical numbers of f x in a, b and use these numbers to determine the test intervals. 2. Determine the sign of f ' x at one test value in each of the intervals. 3. Use the previous theorem to determine whether f is increasing or decreasing on each interval. *These guidelin ...
... 1. Locate the critical numbers of f x in a, b and use these numbers to determine the test intervals. 2. Determine the sign of f ' x at one test value in each of the intervals. 3. Use the previous theorem to determine whether f is increasing or decreasing on each interval. *These guidelin ...
Section 4.7 Inverse Trig Functions
... Keep in mind that inverse functions can only exist if the original function is one-to-one. Are the arcsine or cosine functions one-to-one? ...
... Keep in mind that inverse functions can only exist if the original function is one-to-one. Are the arcsine or cosine functions one-to-one? ...
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.