ExponentialFunction

 Calling Sequence ExponentialFunction(f) ExponentialFunction(asymval, pt1, pt2)

Parameters

 f - exponential function in a single variable. asymval - y-value for horizontal asymptote pt1, pt2 - a GridPoint object or rtable/list representing a point on the function

Options

 • domain : a RealRange expression specifying the region over which the function is defined
 • variable : name used in generated expression if the second calling sequence is used

Description

 • The ExponentialFunction constructor generates and returns an object representing an exponential function.
 • The first calling sequence requires an exponential function in one variable to be provided.
 • The second calling sequence requires the value for the horizontal asymptote and two points on the curve to be provided.

Examples

 > $\mathrm{with}\left(\mathrm{Grading}\right)$
 $\left[{\mathrm{AbsoluteValueFunction}}{,}{\mathrm{Draw}}{,}{\mathrm{ExponentialFunction}}{,}{\mathrm{GetData}}{,}{\mathrm{GetDomain}}{,}{\mathrm{GetExpression}}{,}{\mathrm{GradePlot}}{,}{\mathrm{GridPoint}}{,}{\mathrm{Inequalities}}{,}{\mathrm{LinearFunction}}{,}{\mathrm{LogarithmicFunction}}{,}{\mathrm{QuadraticFunction}}{,}{\mathrm{Quiz}}{,}{\mathrm{Segment}}\right]$ (1)
 > $\mathrm{ExponentialFunction}\left(5{2}^{-x}-3\right)$
 ${\mathrm{<< ExponentialFunction: 5*2^\left(-x\right)-3>>}}$ (2)
 > $\mathrm{ExponentialFunction}\left(-2,\left[0,-1\right],\left[-2,2\right]\right)$
 ${\mathrm{<< ExponentialFunction: \left(1/2\right)^v-2>>}}$ (3)
 > $\mathrm{E1}≔\mathrm{ExponentialFunction}\left(-2,\left[0,-1\right],\left[-2,2\right],'\mathrm{variable}'='z'\right)$
 ${\mathrm{E1}}{:=}{\mathrm{<< ExponentialFunction: \left(1/2\right)^z-2>>}}$ (4)
 > $\mathrm{GetExpression}\left(\mathrm{E1}\right)$
 ${\left(\frac{{1}}{{2}}\right)}^{{z}}{-}{2}{,}{z}$ (5)

Compatibility

 • The Grading:-ExponentialFunction command was introduced in Maple 18.