Mathematics, 06.01.2020 02:31 bella2017

Given the function f(x)=x^2+3x+5, what is the average rate of change of the function between x=1 and x=3?

Answers

$\bf slope = \cfrac{rise}{run} \implies 
\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{f(x_2)-f(x_1)}{x_2-x_1}\leftarrow 
\begin{array}{llll}
\textit{average rate}\\
\textit{of change}
\end{array}\\\\
-----------------------------\\\\
f(x)=x^2+3x+5\qquad 
\begin{cases}
x_1=1\\
x_2=3
\end{cases}\implies \cfrac{f(3)-f(1)}{3-1}$

Answer from: Quest

$7 {}^{6} 7 {}^{3} =$

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Given the function f(x)=x^2+3x+5, what is the average rate of change of the function between x=1 and...