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Q: An exponential growth function represents a quantity that has a constant halving time?

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False

depends it can be true or false Apex: False

It represents a fixed quantity.

A constant that does not change!

Exponential growth occurs when a quantity increases exponentially over time.

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True

False

depends it can be true or false Apex: False

positive

A quantity is said to be subject to exponential decay if it decreases at a rate proportional to its value. The time required for the decaying quantity to fall to one half of its initial value.Radioactive decay is a good example where the half life is constant over the entire decay time.In non-exponential decay, half life is not constant.

exponential decay doesnt have to have a decreasing halving time. it just decays at a certain percentage every time, which might be 50% or might not

It represents a fixed quantity.

Constant is a quantity that does not change.

Exponential growth (including exponential decay) occurs when the growth rate of a mathematical function is proportional to the function's current value. In the case of a discrete domain of definition with equal intervals it is also called geometric growth or geometric decay (the function values form a geometric progression). Exponential growth is said to follow an exponential law; the simple-exponential growth model is known as the Malthusian growth model. For any exponentially growing quantity, the larger the quantity gets, the faster it grows. An alternative saying is 'The rate of growth is directly proportional to the present size'. The relationship between the size of the dependent variable and its rate of growth is governed by a strict law of the simplest kind: direct proportion. It is proved in calculus that this law requires that the quantity is given by the exponential function, if we use the correct time scale. This explains the name. The graph illustrates how exponential growth (green) surpasses both linear (red) and cubic (blue) growth

True!

No

A "demand curve" is Price vs. Quantity, holding all else constant; whereas, a "demand function" is Quantity vs. Price, holding all else constant. If you can imagine a graph, with the y-axis being Price, and the x-axis being Quantity, and you were to plot price/quantity data or, perhaps, even a function onto this graph, then that would be a "demand curve". If you did something similar but, this time, the y-axis was Quantity, and the x-axis was Price, then what you would have, instead, is what is called a "demand function".

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