We can use arrow notation to describe local behavior and end behavior of the toolkit functions
and
See
[link] .
A function that levels off at a horizontal value has a horizontal asymptote. A function can have more than one vertical asymptote. See
[link] .
Application problems involving rates and concentrations often involve rational functions. See
[link] .
The domain of a rational function includes all real numbers except those that cause the denominator to equal zero. See
[link] .
The vertical asymptotes of a rational function will occur where the denominator of the function is equal to zero and the numerator is not zero. See
[link] .
A removable discontinuity might occur in the graph of a rational function if an input causes both numerator and denominator to be zero. See
[link] .
A rational function’s end behavior will mirror that of the ratio of the leading terms of the numerator and denominator functions. See
[link] ,
[link] ,
[link] , and
[link] .
Graph rational functions by finding the intercepts, behavior at the intercepts and asymptotes, and end behavior. See
[link] .
If a rational function has
x -intercepts at
vertical asymptotes at
and no
then the function can be written in the form
the transfer of energy by a force that causes an object to be displaced; the product of the component of the force in the direction of the displacement and the magnitude of the displacement
A wave is described by the function D(x,t)=(1.6cm) sin[(1.2cm^-1(x+6.8cm/st] what are:a.Amplitude b. wavelength c. wave number d. frequency e. period f. velocity of speed.
A body is projected upward at an angle 45° 18minutes with the horizontal with an initial speed of 40km per second. In hoe many seconds will the body reach the ground then how far from the point of projection will it strike. At what angle will the horizontal will strike
Suppose hydrogen and oxygen are diffusing through air. A small amount of each is released simultaneously. How much time passes before the hydrogen is 1.00 s ahead of the oxygen? Such differences in arrival times are used as an analytical tool in gas chromatography.
the science concerned with describing the interactions of energy, matter, space, and time; it is especially interested in what fundamental mechanisms underlie every phenomenon