Übung: Funktionen auswerten
randRange(-6, 6)
randRange(-6, 6)
generateFunctionPath(END_F)
generateFunctionPath(END_G)
randRangeExclude(-10, 10, [-1, 0])
randRangeExclude(-10, 10, [-1, 0])
randRange(-9, 9)
F_PATH[CORRECT_X + 10][1]
randRange(-9, 9)
G_PATH[CORRECT_GX + 10][1]
Gegeben sind die Funktionen f(x)
und g(x)
, die unten aufgetragen sind.
Bestimme F_COEF \cdot f(CORRECT_X) +
G_COEF \cdot g(CORRECT_GX)
graphInit({
range: 10,
scale: 20,
tickStep: 1,
labelStep: 1,
unityLabels: false,
labelFormat: function( s ) { return "\\small{" + s + "}"; },
axisArrows: "<->"
});
label([10, END_F], "f(x)", "right", {color: BLUE});
label([10, END_G], "g(x)", "right", {color: RED});
path(F_PATH, {stroke: BLUE});
path(G_PATH, {stroke: RED, "stroke-dasharray": "-"});
F_COEF * CORRECT_Y + G_COEF * CORRECT_GY
Bestimme f(CORRECT_X)
und g(CORRECT_GX)
.
\begin{align*}
f(CORRECT_X) &= CORRECT_Y \\
g(CORRECT_GX) &= CORRECT_GY
\end{align*}
F_COEF f(CORRECT_X) + G_COEF g(CORRECT_GX)
= (F_COEF) (CORRECT_Y) + (G_COEF) (CORRECT_GY)
= F_COEF * CORRECT_Y + G_COEF * CORRECT_GY
= F_COEF * CORRECT_Y + G_COEF * CORRECT_GY