Question

Calculate the average rate of change for the given graph from x = 3 to x = 5 and select the correct answer below.

5
3
1
0

Answer 1

`\bf slope = {{ m}}= \cfrac{rise}{run} \implies \cfrac{{{ f(x_2)}}-{{ f(x_1)}}}{{{ x_2}}-{{ x_1}}}\impliedby \begin{array}{llll} average\ rate\\ of\ change \end{array}\\\\ -------------------------------\\\\ \begin{cases} x_1=3\\ x_2=5 \end{cases}\implies \cfrac{f(5)-f(3)}{5-3}\implies \cfrac{0-0}{2}\implies \cfrac{0}{2}\implies 0`