Answer:
a) -3.5
Step-by-step explanation:
The average rate of change of a function f(x) from x=a to x=b is given by:
[tex] \frac{f(b) - f(a)}{b - a} [/tex]We want to find the average rate of change of change of the given function from x=1 to x=4.
From the graph,
[tex]f(4) \approx \: - 3.8[/tex]
[tex]f(1) = 3[/tex]
The average rate of change is:
[tex] \frac{ - 3.8 - 3}{4 - 1} = \frac{ - 6.8}{2} = - 3.4[/tex]
a) is closest
