Question

Please help! I am so desperate and I need this to pass my Algebra 1 class....

Answer 1

Answer:
`average\ rate\ of\ change\approx-3`

Explanation:

For this exercise you need to use the following formula:

`average\ rate\ of\ change=(f(b)-f(a))/(b-a)`

You need to find the average rate of change of the given function g(x) over the following interval:

`[-1,2]`

So, you can see in the table that the point whose x-coordinate is -1, is:

`(-1,5)`

And the point whose x-coordinate is 2, is:

`(2,-3)`

Knowing this, let be:

`a=-1\\f(a)=5\\\\b=2\\f(b)=-3`

Now you can substitute values into the formula:

`average\ rate\ of\ change=(-3-5)/(2-(-1))`

Finally, evaluating, you get that the average rate of change over the interval indicated in the exercise, is:

`average\ rate\ of\ change=(-8)/(3)\\\\average\ rate\ of\ change=-2.66\\\\average\ rate\ of\ change\approx-3`