Precalculus: Graphing functions
Exercices
Sketch the graph of each of the following functions:
y = |x - 2|
y = (x - 1)1/2
y - 2 x - 3 = 0
y = (x - 2)2 + 3
y = x3 + 2 x + 3
What is the equation of the tangent at a point
of abscissa x = 1?
(x - 2)2 + y2 = 1
(x - 2)2/ 4 - (y - 3)2/ 25 = 1
Solutions
You can download and install a GNU free version of Gnuplot to verify
the sketched graphs: Gnuplot
Example:
gnuplot> set border
gnuplot> set xtics 1
gnuplot> set grid
gnuplot> set xzeroaxis lt 2 lw 2
gnuplot> set yzeroaxis lt 2 lw 2
gnuplot> set style line 1 lw 3
gnuplot> set xrange [-3:3]
gnuplot> set yrange [-6:6]
gnuplot> f(x)=2*x + 3
gnuplot> set title "Graph of the line y - 2 x - 3 = 0"
gnuplot> set xlabel "abscissa - variable x "
gnuplot> set ylabel "ordinate - values of f(x)"
gnuplot> plot f(x) lw 3
gnuplot>
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