       Draw two functions in a graph, one of them does also have a parameter.

• To: mathgroup at smc.vnet.net
• Subject: [mg90176] Draw two functions in a graph, one of them does also have a parameter.
• From: Felipe Mannshardt <vexie.infamous at googlemail.com>
• Date: Tue, 1 Jul 2008 07:01:26 -0400 (EDT)

Is there a way to do a Plot do draw this two functions in the same graph ?
I am asking because i am having problems due the parameter  "a".

I have,

f(x)= -x^2 + 6x
g(x)= ax

i want to draw them in the same graphic and with a from 0 to 3 . . .

Can not think of a way of doing this, due the "a" parameter . . .

Plot[{f[x],[g[a][x]},{x,0,7},{a,0,3}]

Can some help me out with this small issue ?

In Latex,

\text{Clear}[x,f,g]

f[\text{x$\_$}]\text{:=}-x^2+6x

\text{Nullstellen} \text{von} f[x]

\text{Solve}[f[x]==0,x]

\{\{x\to 0\},\{x\to 6\}\}

\text{Fl{\" a}che} \text{von} f[x]

\int_0^6 f[x] \, dx

36

\text{Clear}[x]

g[\text{a$\_$}][\text{x$\_$}]\text{:=}a*x

\text{Graphisch} \text{dargestellt}

\text{Plot}[f[x],\{x,-0.2,6.2\}]

\text{Plot}[\text{Table}[g[a][x],\{a,0,3\}],\{x,0,2\}]

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