Question

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

Answer 1

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

Step-by-step explanation:

For this exercise you need to use the following formula:

$average\ rate\ of\ change=\frac{f(b)-f(a)}{b-a}$

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:

$average\ rate\ of\ change=\frac{-3-5}{2-(-1)}$

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

$average\ rate\ of\ change=\frac{-8}{3}\\\\average\ rate\ of\ change=-2.66\\\\average\ rate\ of\ change\approx-3$