SetOptionsPlot3D(*Or whichever plot you desire*),
ColorFunction → "Rainbow"(*One of many options*);
(1)
In[5]:=
Plot3D[x + y - 4, {x, -10, 10}, {y, -10, 10}]
Out[5]=
Plot3D[x * y, {x, -20, 20}, {y, -20, 20}]
Printed by Wolfram Mathematica Student Edition
2
grafy.nb
In[9]:=
Plot3DSqrt[x * y], {x, -20, 20}, {y, -20, 20}
Out[9]=
In[10]:=
Plot3DSqrtx^2 + y^2, {x, -20, 20}, {y, -20, 20}
Out[10]=
Printed by Wolfram Mathematica Student Edition
grafy.nb
In[21]:=
Plot3DSqrt16 - x^2 + y^2, {x, -4, 4}, {y, -4, 4}, BoxRatios → Automatic
Out[21]=
In[33]:=
RegionPlotFunctionDomainSqrt16 - x^2 + y^2, {x, y}, {x, -4, 4}, {y, -4, 4}
4
2
Out[33]=
0
-2
-4
-4
-2
0
2
4
Printed by Wolfram Mathematica Student Edition
3
4
grafy.nb
In[23]:=
Plot3DAbs[x] + 2 Abs[y], {x, -4, 4}, {y, -4, 4}, BoxRatios → Automatic
Out[23]=
Printed by Wolfram Mathematica Student Edition
grafy.nb
In[26]:=
Plot3Dx^2 - y^2 + 5, {x, -4, 4}, {y, -4, 4}, BoxRatios → Automatic
Out[26]=
Printed by Wolfram Mathematica Student Edition
5
6
grafy.nb
In[29]:=
Plot3D(x - 1) / (y - 2), {x, -4, 8}, {y, -4, 8}, BoxRatios → Automatic
Out[29]=
(2)
Printed by Wolfram Mathematica Student Edition
grafy.nb
In[37]:=
RegionPlotFunctionDomainSqrty * Sin[x], {x, y}, x, -4 Pi, 4 Pi, {y, -4, 4}
4
2
Out[37]=
0
-2
-4
-10
In[41]:=
-5
0
5
10
RegionPlot3DFunctionDomainArcSin[x] + ArcSin[y] + ArcSin[z], {x, y, z},
{x, -1, 1}, {y, -1, 1}, {z, -1, 1}, BoxRatios → Automatic
Out[41]=
Printed by Wolfram Mathematica Student Edition
7
8
grafy.nb
In[50]:=
RegionPlotFunctionDomainLog16 - x^2 - 16 y^2 + Log-1 + x^2 + y^2, {x, y},
{x, -4, 4}, {y, -1, 1}, AspectRatio → Automatic
1.0
0.5
Out[50]=
0.0
-0.5
-1.0
In[56]:=
-4
-2
0
2
4
RegionPlotFunctionDomainSqrtSin[x] * Sin[y], {x, y},
{x, -9, 9}, {y, -9, 9}, AspectRatio → Automatic
5
Out[56]=
0
-5
-5
0
5
(3)
Printed by Wolfram Mathematica Student Edition
grafy.nb
In[58]:=
RegionPlotFunctionDomainArcSin[x + y] + ArcTan[x + y] + x * y, {x, y},
{x, -4, 4}, {y, -4, 4}, AspectRatio → Automatic
4
2
Out[58]=
0
-2
-4
-4
-2
0
2
4
Printed by Wolfram Mathematica Student Edition
9
10
grafy.nb
In[59]:=
RegionPlotFunctionDomainLogx  Abs[x] - Abs[y], {x, y},
{x, -4, 4}, {y, -4, 4}, AspectRatio → Automatic
4
2
Out[59]=
0
-2
-4
-4
In[60]:=
-2
0
2
4
RegionPlotFunctionDomainSqrtx * y - y^3 + 2 y^2, {x, y},
{x, -4, 4}, {y, -4, 4}, AspectRatio → Automatic
4
2
Out[60]=
0
-2
-4
-4
-2
0
2
4
Printed by Wolfram Mathematica Student Edition
grafy.nb
In[64]:=
RegionPlotFunctionDomainArcSinSqrt[x * (x + y)], {x, y},
{x, -2, 2}, {y, -2, 2}, AspectRatio → Automatic
2
1
Out[64]=
0
-1
-2
-2
-1
0
1
2
Printed by Wolfram Mathematica Student Edition
11