Question

The graph shows the function f(x). Which value is closest to the average rate of change from x = 1 to x = 3?

Answer 1

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