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Yes, a critical point can be where the graph changes its shape without changing its increasing or decreasing behavior. This typically occurs at points of inflection, where the concavity of the graph changes, but the function may still be increasing or decreasing. In such cases, the first derivative does not change sign, while the second derivative does, indicating a change in the curvature of the graph rather than a change in the overall trend.

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1d ago

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What do the turning points of the graph tell you?

The turning points of a graph indicate where the function changes direction, signaling local maxima and minima. Specifically, a turning point corresponds to a change in the sign of the first derivative, which means the function is either increasing or decreasing before and after that point. Analyzing these points helps identify critical features of the function, such as the overall shape and behavior, which can be useful for optimization and understanding trends.


When do matter change physically?

Things only move from one phase to another by physical means. If energy is added (like increasing the temperature or increasing pressure) or if energy is taken away (like freezing something or decreasing pressure) you have created a physical change. =)) Hope it can help!


Change 6 out of 100 percent?

If we want to change 6 out of 100 percent, it means we want to alter 6% of the whole. This can be done by either increasing or decreasing the original value of 100%.


When the percent of change is negative?

The quantity is decreasing.


What does the slop of a distance vs. time graph tell you?

The slope of a distance vs. time graph is a measure of the rate of change of the distance over time. It tells you the speed at which the distance is changing. If the slope is positive it means the distance is increasing with time. If the slope is negative it means the distance is decreasing with time. If the slope is zero it means the distance is not changing with time. Positive slope: distance is increasing with time. Negative slope: distance is decreasing with time. Zero slope: distance is not changing with time.The slope of the graph can be used to calculate the average speed of an object over a certain period of time. By taking the change in distance and dividing it by the change in time the average speed can be calculated.

Related Questions

Does the rate of change have to be negative?

no... the sign indicates whether the rate of change is increasing or decreasing. It is only negative if the rate is decreasing over time.


Can you change a state of matter without increasing or decreasing heat energy?

No.


What if the rate of change is a measure of how fast the function is increasing or decreasing what does the slope of a linear?

The slope of a linear function is also a measure of how fast the function is increasing or decreasing. The only difference is that the slope of a straight line remains the same throughout the domain of the line.


What three things can acceleration mean?

Increasing speed, decreasing speed, and change of direction


How can populations change?

Populations can change through birth (increasing population), death (decreasing population), immigration (increasing population), and emigration (decreasing population). Changes in these factors can result in population growth or decline over time.


What are the two ways pressure can change?

Pressure can change by altering the force applied to the surface or by changing the area over which the force is distributed. Increasing the force or decreasing the area results in higher pressure, while decreasing the force or increasing the area results in lower pressure.


What conclusion can you draw about the acceleration is it constant increasing decresing or zero?

If acceleration is constant, it means the velocity is changing at a constant rate. If acceleration is increasing, it means the velocity is increasing at an increasing rate. If acceleration is decreasing, it means the velocity is increasing at a decreasing rate. If the acceleration is zero, it means there is no change in velocity.


How can you change states of matter by increasing decreasing preassure?

higher pressure will compress the particules and lower pressure will separate them


Which of the following is an effect of increasing the wavelength of an electromagnetic wave?

Increasing the wavelength of an electromagnetic wave will decrease its frequency and energy. This change can affect how the wave interacts with matter, such as increased penetration through obstacles or reduced absorption by certain materials.


What do the turning points of the graph tell you?

The turning points of a graph indicate where the function changes direction, signaling local maxima and minima. Specifically, a turning point corresponds to a change in the sign of the first derivative, which means the function is either increasing or decreasing before and after that point. Analyzing these points helps identify critical features of the function, such as the overall shape and behavior, which can be useful for optimization and understanding trends.


What change to a wire would cause its resistance to decrease?

Decreasing the length or increasing the thickness of the wire would cause its resistance to decrease.


When acceleration increase does velocity increase?

No. Acceleration IS a change of velocity - any change. When velocity increases, there IS acceleration. The acceleration itself may be increasing, decreasing, or remain constant.