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Consider the graph of y= +/- sqrt(x). Notice that, for any value of x greater than 0, there are two values of this relation. To be a function a relation has to assign one value in the range to each value in the domain. So this cannot be a function, yet it has a perfectly ordinary graph.

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What do the peaks on the graphs in figure 7 3 represent?

The peaks are called the activation energy. It is the energy used to get the reaction going.


Find the amplitude and period of the functions and sketch their graphs y equals sin -x?

y = sin(-x)Amplitude = 1Period = 2 pi


What is vertical stretch and horizontal stretch?

They are transformations of plane graphs.


Are graphs useful for describing functions?

YES! Simply by taking a quick glance at a graph, you can see several characteristics of the function: local minimums/maximums, points of inflection, end behavior, asymptotes, etc etc... If you wanted to find these without the graph, you would have to do some math which might end up being very time consuming for very complicated functions. Even worse: what if the function is not elementary, and you can't express it in terms of finite arithmetic operations?


What is the anti-derivative of e-x2?

I believe the questioner means e^(-x^2), which is perhaps the most famous of many functions which do not have anti-derivatives which can be expressed by elementary functions. The definite integral from minus infinity to plus infinity, however, is known: It is sqrt(pi). The antiderivative to e^(-2x) is, (-*e^(-2x)/2) Though the anti-derivative (integral) of many functions cannot be expressed in elementary forms, a variety of functions exist only as solutions to certain "unsolvable" integrals. the equation erf(x), also known as the error function, equals (2/sqrt(pi))*integral e(-t^2) dt from 0 to x. As mentioned before, this cannot be expressed through basic mathematical functions, but it can be expressed as an infinite series. If the question is the antiderivative of e - x2, the answer is e*x - x3/3

Related Questions

Is it possible for 2 linear functions whose graphs are parallel lines to have the same y-intercept?

Only if the two functions really represent the same function.


What are graphs that have connected lines or curves?

Graphs that have connected lines or curves are typically referred to as continuous graphs. These graphs represent a function or relationship where the points are connected without any breaks, indicating that for every input within a certain range, there is a corresponding output. Examples include linear functions, polynomial functions, and trigonometric functions. Continuous graphs are important in calculus and mathematical analysis because they allow for the application of concepts such as limits, derivatives, and integrals.


Do graphs represent equations?

Bar graphs and line graphs do not. Straight line, parabolic, and hyperbolic graphs are graphs of an equation.


What kinds of graphs will best represent a given set of data?

circle graphs


What relationship betweenmass and acceleration does the graphs represent?

Show me the graphs and I'll get right on it for you.


How do graphs represent motion?

The answer depends on what information is graphed. There are distance-time graphs, velocity-time graphs, speed-time graphs, acceleration-time graphs.


What are the graphs of reciprocal functions?

They are hyperbolae.


Do linear graphs represent proportional relationships?

Do all linear graphs have proportional relationship


What is the factor scientist change in graphs?

The Graphs can be used to represent data about the equilibrium reactions.


Do bar graphs represent data?

sometimes they can


What Bar graphs are similar to line graphs because they both?

Represent two variables on two axes.


Graphs are representations of equations.?

Line graphs may represent equations, if they are defined for all values of a variable.