- #1
poohbear1986
- 20
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Diffy said:when x is 2 f(x) should be around 7.4 and in his document 4 < f(2) < 6 which actually satisfies neither of the two possibilities mentioned.
poohbear1986 said:graphing y=-e^x e=2.1783 and i got this
The purpose of graphing y=-e^x is to visually represent the exponential function -e^x. This allows us to see the behavior and characteristics of the function, such as its rate of change and its asymptotic behavior.
The "y=" in the equation y=-e^x represents the dependent variable, which is the output or result of the function. In this case, it represents the output of the exponential function -e^x.
The exponential function -e^x can have very large or very small values, which can be difficult to represent on a linear scale. Using a logarithmic scale allows us to compress the data and make the graph more readable, as it represents values in equal intervals on a logarithmic scale.
The graph of y=-e^x is a reflection of the graph of y=e^x across the x-axis. This means that all the points on the graph of y=-e^x have the same x-coordinates as the points on the graph of y=e^x, but their y-coordinates are the opposite sign. Additionally, the graph of y=-e^x decreases as x increases, while the graph of y=e^x increases as x increases.
The exponential function -e^x is commonly used to model decay, such as radioactive decay or the decay of a population. Therefore, graphing y=-e^x can be used to analyze and predict the behavior of decaying systems in various fields, such as economics, biology, and physics.