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dedylja [7]
3 years ago
7

Help Pre-Calc

Mathematics
1 answer:
Anna11 [10]3 years ago
8 0

Answer:

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:

Average\ rate=\frac{f\left(b\right)-f\left(a\right)}{b-a}

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

Average\ rate=\frac{-3-3}{-4-\left(-1\right)}

Average\ rate=\frac{-3-3}{-4+1}

Average\ rate=\frac{-6}{-3}

Average\ rate=2

Hence final answer is 2.

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