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At which labeled point(s) is the function increasing?
(A) C and F
(B) A and E

User VahidShir
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1 Answer

2 votes

Final Answer:

The function is increasing at points A and E. (Option B)

Step-by-step explanation:

To determine where the function is increasing, we examine the slope of the function at different points. If the slope is positive, the function is increasing. In the given options, points A and E correspond to regions where the function has a positive slope.

The slope of a function at a point is given by its derivative. If f'(x) > 0, the function is increasing at that point. In calculus, this is referred to as the first derivative test. By calculating the derivatives of the function at points A and E, we can verify that the derivatives are positive, indicating an increasing function.

In mathematical terms, if f'(A) > 0 and f'(E) > 0, where f'(x) is the derivative of the function with respect to x, then the function is increasing at points A and E. This is a fundamental concept in calculus to analyze the behavior of functions at specific points.(Option B)"

User Yogesh Jilhawar
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