no... the sign indicates whether the rate of change is increasing or decreasing. It is only negative if the rate is decreasing over time.
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a car braking is a negative rate of velocity change
left to right positive,right to left negative rate
well the rate of change is how much something changes in a matter of time, so it can be graphed in a slope because slopes can represent changes ( negative and positive, zero and undefined)
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.
There are several uses for those; basically any situation where a rate of change is proportional to a quantity. The growth of a population growth under ideal conditions (with a positive exponent) and radioactive decay (with a negative exponent) are common example.There are several uses for those; basically any situation where a rate of change is proportional to a quantity. The growth of a population growth under ideal conditions (with a positive exponent) and radioactive decay (with a negative exponent) are common example.There are several uses for those; basically any situation where a rate of change is proportional to a quantity. The growth of a population growth under ideal conditions (with a positive exponent) and radioactive decay (with a negative exponent) are common example.There are several uses for those; basically any situation where a rate of change is proportional to a quantity. The growth of a population growth under ideal conditions (with a positive exponent) and radioactive decay (with a negative exponent) are common example.