Question

based on the graph above, estimate (to one decimal place) the average rate of change from x = 1 to x = 4.

Explanation:

Step1: Identify f(1) and f(4)

From the graph: $f(1) = 3$, $f(4) = 6$

Step2: Apply average rate formula

Use $\frac{f(b)-f(a)}{b-a}$ for $a=1,b=4$
$\text{Average rate} = \frac{f(4)-f(1)}{4-1} = \frac{6-3}{4-1}$

Step3: Calculate and round

$\frac{3}{3} = 1.0$

Answer:

1.0