All functions have certain properties, or distinct features, which can be very useful when trying to analyze them. The following common properties of functions describe how a graph is shaped, what happens as x-
Describe how the graph of the function {eq}y=1.5 \; \textrm{sin}(4x) {/eq} is related to the graph of {eq}y=\textrm{sin} \; x {/eq}. Then, graph two periods of {eq}y=1.5 \; \textrm{sin}(4x) {/eq}. ...
How is the graph of f(x) = x^2 transformed to obtain the graph of g(x) = 2x^2? Describe how the graph of the function f(x) = \frac{1}{x - 3} +2 can be obtained from the graph of y = \frac{1}{x} . Describe verbally the transformations that can...
Describe how to transform the graph of {eq}\displaystyle y = \log (x) {/eq} into {eq}\displaystyle f (x) = -2 \log (x) + 1 {/eq}. Transformations of Functions A function {eq}\displaystyle y=f(x) {/eq} translatedmunits up is given by the following functio...
Function $f$ knows it will contribute some wiggle ($df$), $g$ knows it will contribute some wiggle ($dg$), and we, the prowling overseers that we are, know their individual moment-by-moment behaviors are added: Again, let's describe each "point of view": ...
Cell range B8:C9 and B11:C12 in the image above shows how the MINVERSE function calculates the inverse of a 2x2 matrix. The formulas below describe the exact same calculations. A = [[a, b], [c, d]] A = [[1, 2], [3, 4]] ...
Additionally, these delivery limitations are removed when you upgrade to a paid plan. The pages in this guide describe Cloudinary features that enable you to easily deliver your image and video assets in more optimized and responsive ways, to control who can access assets, as well as other ...
is a visual representation of a process. It outlines a sequence of steps from start to finish and may include multiple branching options at every decision point. Workflow diagrams traditionally use different shapes, connectors, and symbols to differentiate tasks from decisions and describe the flow ...
That said, while we can use skewness to describe asymmetric distributions, there isn’t a rigorous mathematical foundation to establish what is meant by “kurtosis of an asymmetric distribution” and what is needed to measure it properly [2]. When modeling stock market volatility, Gabaix et al....
For a single object, the Poisson bracket relations for the Galilei group or the Poincar茅 group and the bracket relations that describe how the position should be changed by space translations, rotations, and either Galilei transformations or Lorentz transformations, imply that if the canonical ...