Saturday October 15, 2005
9:15 am

Calculus by Larson, Hostetler & Edwards
p. 47
obtain the graph for the function f(x) = (x^3 - 1)/(x-1)   x not equal to 1

f[x_] := (x^3 - 1)/(x - 1)

In[3]:=

Plot[f, {x, -2, 2}]

Plot :: plnr : f is not a machine-size real number at x = -1.9999998333333333`. More…

Plot :: plnr : f is not a machine-size real number at x = -1.8377320337083367`. More…

Plot :: plnr : f is not a machine-size real number at x = -1.660764800562505`. More…

General :: stop : Further output of Plot :: plnr will be suppressed during this calculation. More…

[Graphics:HTMLFiles/index_7.gif]

Out[3]=

⁃Graphics⁃

In[4]:=

f

Out[4]=

f

In[5]:=

Plot[f, {x, -2, 0}]

Plot :: plnr : f is not a machine-size real number at x = -1.9999999166666667`. More…

Plot :: plnr : f is not a machine-size real number at x = -1.9188660168541685`. More…

Plot :: plnr : f is not a machine-size real number at x = -1.8303824002812528`. More…

General :: stop : Further output of Plot :: plnr will be suppressed during this calculation. More…

[Graphics:HTMLFiles/index_16.gif]

Out[5]=

⁃Graphics⁃

In[6]:=

f[x_] := (x^3 - 1)/(x - 1)

In[7]:=

Plot[f, {x, -2, 2}]

Plot :: plnr : f is not a machine-size real number at x = -1.9999998333333333`. More…

Plot :: plnr : f is not a machine-size real number at x = -1.8377320337083367`. More…

Plot :: plnr : f is not a machine-size real number at x = -1.660764800562505`. More…

General :: stop : Further output of Plot :: plnr will be suppressed during this calculation. More…

[Graphics:HTMLFiles/index_24.gif]

Out[7]=

⁃Graphics⁃

In[8]:=

f

Out[8]=

f

In[9]:=

f = (x^3 - 1)/(x - 1)

Out[9]=

(-1 + x^3)/(-1 + x)

In[10]:=

Plot[f, {x, -2, 2}]

[Graphics:HTMLFiles/index_31.gif]

Out[10]=

⁃Graphics⁃

In[11]:=

Plot[f, {x, 0.99, 1.01}]

[Graphics:HTMLFiles/index_34.gif]

Out[11]=

⁃Graphics⁃

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