Whats the average rate of change of change for
f(x)=x^2+2x-1 as x goes from 1 to 2? Then how do i find the equation to the secant line of f(x)?
+14905 Whats the average rate of change of change for
f(x)=x^2+2x-1 as x goes from 1 to 2? Then how do i find the equation to the secant line of f(x)?
Was ist die durchschnittliche Änderungsrate für
f (x) = x ^ 2 + 2x-1, wenn x von 1 nach 2 geht? Wie finde ich dann die Gleichung zur Sekantenlinie von f (x)?
\(f(x)=x^2+2x-1\)
\(y_1=1^2+2\cdot1-1=2\\ P_1(1,2)\)
\(y_2=2^2+2\cdot 2-1=7\\ P_2(2,7)\)
The average rate of change is
\( m_{1,2}=\frac{y_2-y_1}{x_2-x_1}=\frac{7-2}{2-1}=\color{blue}2.5\)
The equation to the secant line of f(x) is
\(f(x)=y=m(x-x_1)+y_1\)
\(F(x)=y=2.5(x-1)+2=2.5x-2.5+2\)
\(f(x)=y=2.5x-0.5\)
!
