For which interval is the average rate of change of f(x) negative?
2 answers:
The Average Rate of Change<span> function describes the average rate at which one quanity is changing with respect to something else changing.
</span><span> For this case, the first thing you should do is observe the intervals for which the function decreases.
Remember that the definition of average rate of change is given by:
</span>
<span> For AVR to be negative, it must necessarily pass:
</span>
<span>
The interval that meets both conditions is:
x = 0 to x = 2.5
Answer:
x = 0 to x = 2.5
option 3</span>
</span><span> For this case, the first thing you should do is observe the intervals for which the function decreases.
Remember that the definition of average rate of change is given by:
</span>
<span> For AVR to be negative, it must necessarily pass:
</span>
The interval that meets both conditions is:
x = 0 to x = 2.5
Answer:
x = 0 to x = 2.5
option 3</span>
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Answer:
Step-by-step explanation:
= x - 5 ( x ≥ 3 )
( )² = ( x - 5 )²
x - 3 = x² - 10x + 25
x² - 11x + 28 = 0
(x - 4)(x - 7) = 0
= 7
= 4
Check the answer:
1). x = 7
= 7 - 2
√4 = 2
2 = 2
2). x = 4
= 4 - 5
1 = - 1 (False statement) ⇒ x = 4 is an extraneous solution.
