=for timestamp
Mi Apr  6 15:06:11 CEST 2005

=head3 48. Hausaufgabe

=head4 Selbstgestellte Aufgabe

M<f(x) = 2x^2 - 8x; \quad D_f = \left[-2, 5\right];>

M<f'(x_s) = 4x_s - 8 = 0; \Rightarrow x_s = 2;>

M<f(x_s) = f(2) = -8;>

M<f(-2) = 8 - 8\left(-2\right) = 24;>

M<f(5) = 50 - 40 = 10;>

⇒ M<W_f = \left[-8, 24\right];>


=helper MyBook::Helper::Gnuplot

# File automatically generated by Plot.pm

# Global settings
set samples 10000
unset border
set xtics axis
set ytics axis
set xzeroaxis lt -1
set yzeroaxis lt -1

# Coordinate system settings
set title ""
set xlabel "\nx\n"
set ylabel "y\n"
set xrange [ -2.000000 : 5.000000 ]
set yrange [ -9.000000 : 25.000000 ]
set grid
set xtics 1.000000
set ytics 5.000000

# Function definitions
func0(x) = 2.*x**2. - 8.*x

# Plotting
plot func0(x) t "f" w l lt 1

=hend