Consider the function f(x) = 4x° 3x on the interval – 4, 4|. Find the average or mean slope of the - function on this interval. By the Mean Value Theorem, we know there exists at least one c in the open interval (- 4, 4) such that f'(c) is equal to this mean slope. For this problem, there are two values of c that work. The smaller one is and the larger one is
Consider the function f(x) = 4x° 3x on the interval – 4, 4|. Find the average or mean slope of the - function on this interval. By the Mean Value Theorem, we know there exists at least one c in the open interval (- 4, 4) such that f'(c) is equal to this mean slope. For this problem, there are two values of c that work. The smaller one is and the larger one is
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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Rate of Change
The relation between two quantities which displays how much greater one quantity is than another is called ratio.
Slope
The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as:
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