WebSep 28, 2014 · Yes, the average rate of change can be negative. The average rate of change is just the slope of a line. If that line is decreasing then the slope is negative . If that line is increasing then the slope is positive . If that line … WebIf the function is decreasing, it has a negative rate of growth. In other words, while the function is decreasing, its slope would be negative. You could name an interval where the function is positive and the slope is negative. The secret is paying attention to the exact words in the question. ( 46 votes)

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WebApr 15, 2024 · So, you get this: The instantaneous rate of change, or derivative, can be written as dy/dx, and it is a function that tells you the instantaneous rate of change at any point. y' = f '(x + h) = ( d dx)(3 ⋅ (x)2) = 6x ⋅ 1 = 6x . For example, if x = 1, then the instantaneous rate of change is 6. WebCall one of the points (x₁ , y₁ ) and the other point (x₂ , y₂). The rate of change will = (y₁ - y₂) / (x₁ -x₂ ) The part that looks like - 6 < x < -2 means that it is the line segment that begins at x=-6 and ends at x=-2 2 comments ( 16 votes) Show more... Scott Johnsen 10 years ago Does 'Average Rate of Change' mean slope?? irish life health wearables

Slope and Rate of Change - Algebra-Class.com

WebRated Helpful. a) It changes the instantaneous rate of change from decreasing to increasing. This means that the rate of decrease of Bob's mark has peaked. In other words, the rate of decrease of Bob's mark will slow down starting at day B. b) Bob's mark is lowest at day c, since on interval [a, c] the instantaneous rate change is nonpositive. WebOct 18, 2024 · If the slope of the line is positive, this means that the rate of change is also positive, and if the slope is negative, the rate of change is negative. Web(a) Can the average rate of change of an increasing function ever be negative? Yes O No I No. give a reason (If Yes, enter Yes.) This entwert been graded yet (6) if the average rate of change of a function between two and is negative, then is the function necessarily decreasing on the interval (0) Yes No If No, give a reason (If Yes, enter Yes) irish life ie my online services