Exponential Functions - Maple Programming Help

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Exponential Functions

 Exponential Functions An exponential function is a function of the form $f\left(x\right)=c\cdot {a}^{x}$, where $a>0$ and $c\ne 0$ are constants. It is common to exclude the case $a=1$, as then the function reduces to just the constant function $f\left(x\right)=c$.

 The Exponential Function The exponential function is the function $f\left(x\right)={{ⅇ}^{x}}^{}$, where  . This function is also often written as $f\left(x\right)=\mathrm{exp}\left(x\right)$, particularly when the argument, $x$, is a large or complicated expression.

The graph below shows the function $y\mathit{=}c\mathit{\cdot }{a}^{x}$. Use the sliders to change the values of c and a.

Use the check boxes to select whether integers or general numbers will be used.  For comparison, you can also display the graph of $y\mathit{=}{{\mathit{ⅇ}}^{x}}^{}$.

 Value of c Value of a