Question

Given the following table, find the rate of change between 1-4) and 10).X-4-2024fx) -2 -1 0 1 20-2

Answer 1

Given

To find: The rate of change between f(-4) and f(0).

Step-by-step explanation:

It is given that,

That implies,

`f(-4)=-2,\text{ }f(0)=0`

Then, the rate of change is given by,

`\begin{gathered} Rate\text{ }of\text{ }change=(f(0)-f(-4))/(0-(-4)) \\ =(0-(-2))/(0+4) \\ =(2)/(4) \\ =(1)/(2) \end{gathered}`

Hence, the rate of change is 1/2.