Week 2 - NUI Galway
... The most important example of a piecewise defined function is the absolute value function. ...
... The most important example of a piecewise defined function is the absolute value function. ...
Document
... Finding Domains of Functions When a function f whose inputs and outputs are real numbers is given by a formula, the domain is understood to be the set of all inputs for which the expression is defined as a real number. When an input results in an expression that is not defined as a real number, we ...
... Finding Domains of Functions When a function f whose inputs and outputs are real numbers is given by a formula, the domain is understood to be the set of all inputs for which the expression is defined as a real number. When an input results in an expression that is not defined as a real number, we ...
Here
... find points xi , yi arbitrarily close to a such that f (xi ) = f (yi ). But by Rolle’s Theorem this implies that there are points ci , between xi and yi , with f 0 (ci ) = 0. As xi and yi approach a, so does ci , so f 0 (a) = lim f 0 (ci ) = lim 0 = 0 (where we have used the fact that f 0 is continu ...
... find points xi , yi arbitrarily close to a such that f (xi ) = f (yi ). But by Rolle’s Theorem this implies that there are points ci , between xi and yi , with f 0 (ci ) = 0. As xi and yi approach a, so does ci , so f 0 (a) = lim f 0 (ci ) = lim 0 = 0 (where we have used the fact that f 0 is continu ...
Calculus AB Pre-Course Packet
... 38. Using point slope form, find the equation of a line perpendicular to the y- axis passing through the point ...
... 38. Using point slope form, find the equation of a line perpendicular to the y- axis passing through the point ...
Implicit Differentiation by Long Zhao
... Derivative Implicitly Date:12/1/07 Long Zhao Teacher:Ms.Delacruz ...
... Derivative Implicitly Date:12/1/07 Long Zhao Teacher:Ms.Delacruz ...
- Deer Creek High School
... allows students to visualize abstract solutions and understand what they have really found. One of the first topics that we discuss with a graphing calculator is how to properly utilize a calculator. Another activity that students utilize their graphing calculators for is finding the equation of a t ...
... allows students to visualize abstract solutions and understand what they have really found. One of the first topics that we discuss with a graphing calculator is how to properly utilize a calculator. Another activity that students utilize their graphing calculators for is finding the equation of a t ...
Summer 2016 HW - Regular Calculus Summer Pkt_2016
... To evaluate a function for a given value, simply plug the value into the function for x. ...
... To evaluate a function for a given value, simply plug the value into the function for x. ...
The Law of Large Numbers - University of Arizona Math
... As the formula shows, this can be best achieved by having the weight w(y) be close to the integral I(g). Referring to equation (10.5), we can now see that we should endeavor to have fY proportional to g. Importance leads to the following procedure for estimating integrals. • Write the integrand g(x) ...
... As the formula shows, this can be best achieved by having the weight w(y) be close to the integral I(g). Referring to equation (10.5), we can now see that we should endeavor to have fY proportional to g. Importance leads to the following procedure for estimating integrals. • Write the integrand g(x) ...