Answer:
Hence, the average rate of change is:
1.5
Step-by-step explanation:
We have to find the closest value to the average rate of change from x=3 to x=5.
We know that the average rate of change of a function f(x) from x=a to x=b is calculated as:
[tex]=\dfrac{f(b)-f(a)}{b-a}[/tex]
i.e. here we have:
a=3 and b=5
Now,, from the graph of the function f(x) we could observe that:
[tex]f(5)=-1[/tex] and [tex]f(3)=-4[/tex]
Hence, the average rate of change from x=3 to x=5 is:
[tex]=\dfrac{(-1)-(-4)}{5-3}\\\\=\dfrac{3}{2}\\\\=1.5[/tex]
Hence, the average rate of change is:
1.5
