Pre-calc fill in the blank question : calculate the average rate of change f(x) over the interval (-4,-1) using the formula the value of f(-1) is the value of f(-4) is the average rate of change of f(x) over the interval (-4,-1) is

Average rate of change = 2

Step-by-step explanation:

We need to find the average rate of change of f(x) over the interval [-4,-1], so first we need to find the end points at x=-4 and x=-1.

From graph we see that y=-3 when x=-4, So the point is (-4,-3)

From graph we see that y=3 when x=-1, So the point is (-1,3)

Now we can plug these points into average rate of change formula:

where (a,f(a)) and (b,f(b)) are the given points.

Hence final answer is 2.

d. 8

step-by-step explanation:

the given radical expression is:

we can rewrite this as:

we express as square numbers to get;

the exponents will now cancel out to give.

the correct answer is d