Question

Use the graph of f(x) to evaluate the following:

Answer 1

`\large\boxed{(1)/(2)}`

Explanation:

`\text{The average rate of change of function}\ f(x)\\\text{over the interval}\ a\leq x\leq b\ \text{is given by this expression:}\\(f(b)-f(a))/(b-a).\\\\\text{Read from graph the values of function for}\ x=3\ \text{and}\ x=5.\\(look\ at\ the\ picture)\\\\f(3)=1,\ f(5)=2\\\\\text{Substitute:}\\\\(f(5)-f(3))/(5-3)=(2-1)/(2)=(1)/(2)`