Question

The graph shows the function f(x).

Answer 1

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:

$=\dfrac{f(b)-f(a)}{b-a}$

i.e. here we have:

a=3 and b=5

Now,, from the graph of the function f(x) we could observe that:

$f(5)=-1$ and $f(3)=-4$

Hence, the average rate of change from x=3 to x=5 is:

$=\dfrac{(-1)-(-4)}{5-3}\\\\=\dfrac{3}{2}\\\\=1.5$

Hence, the average rate of change is:

1.5

Answer 2

C should be the answer hope this helps