For the first interval (-1, 2), f(-1) = f(2), which means that the average rate of change on that interval is zero, so the correct option is A.
<h3>
Over which interval the rate of change is zero?</h3>
For a function f(x) we define the average rate of change over the interval (a, b) is defined as:
R = (f(b) - f(a))/(b - a)
Here the function is:
f(x) = x^2 - x -1
And the rate of change will be zero on an interval (a, b) if and only if:
f(b) = f(a).
Notice that the first interval is (-1, 2)
f(-1) = (-1)^2 - (-1) - 1 = 1 + 1 - 1 = 1
f(2) = 2^2 - 2 - 1 = 4 - 2 - 1 =1
Then f(-1) = f(2), which means that the average rate of change on that interval is zero, so the correct option is A.
If you want to learn more about average rate of change:
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Answer:
647680
Step-by-step explanation:
Answer:
Mr. Vu can go 2910 miles on 15 battery charges (D).
Step-by-step explanation:
If 1 battery charge lasts 194, then we can multiply 15 by 194 to find this amount of miles.
15 times 194 equals 2910, so with 15 battery charges, he would go 2910 miles.
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Answer:
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Step-by-step explanation:
Answer:
B.
Step-by-step explanation:
f(x) has two complex roots and one real root.