Question

question 2
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: $f(1) = 5$, $f(4) = 0.5$

Step2: Apply average rate formula

Average rate of change = $\frac{f(b)-f(a)}{b-a}$, where $a=1$, $b=4$
$\text{Average rate} = \frac{f(4)-f(1)}{4-1} = \frac{0.5 - 5}{4-1}$

Step3: Calculate the value

$\frac{-4.5}{3} = -1.5$

Answer:

-1.5