In this page you can discover 5 synonyms, antonyms, idiomatic expressions, and related words for exponentially, like: rapidly, steadily, logarithmically, exponential and without-bound.
How do you use the word exponentially?
Exponentially sentence example
- The ability of humanity to destroy is now exponentially higher. …
- We are creating at a rate exponentially more than our most recent ancestors. …
- Your physical and financial health would improve exponentially . …
- Since then, the company has grown exponentially .
What is exponential example?
The definition of exponential refers to a large number in smaller terms, or something that is increasing at a faster and faster rate. … An example of exponential is 25 being shown as 5×5.
What’s the opposite of exponential?
Logarithmic growth is the inverse of exponential growth and is very slow.
What is an example of exponential growth?
For example, suppose a population of mice rises exponentially every year starting with two in the first year, then four in the second year, 16 in the third year, 256 in the fourth year, and so on. The population is growing to the power of 2 each year in this case.
What is the difference between linear and exponential?
Exponential Functions. In linear functions, rate of change is constant: as x goes up, y will go up a consistent amount. In exponential functions, the rate of change increases by a consistent multiplier—it will never be the same, but there will be a pattern.
Can something decrease exponentially?
In mathematics, exponential decay describes the process of reducing an amount by a consistent percentage rate over a period of time. … You can compare and contrast the differences between exponential growth and decay, but it’s pretty straightforward: one increases the original amount and the other decreases it.
How do you know if a relationship is exponential?
Linear and exponential relationships differ in the way the y-values change when the x-values increase by a constant amount:
- In a linear relationship, the y-values have equal differences.
- In an exponential relationship, the y-values have equal ratios.
Where does the word exponentially come from?
The root of exponentially is the French verb exponere, meaning “to put out.” Think of a factory that puts out so many products its creations seem to increase exponentially.
When was the word exponentially first used?
The first known use of exponential was in 1704.
Is Doubling exponential growth?
The doubling time is the time it takes for a population to double in size/value. … When the relative growth rate (not the absolute growth rate) is constant, the quantity undergoes exponential growth and has a constant doubling time or period, which can be calculated directly from the growth rate.
What does double mean in exponential functions?
A double exponential function is a constant raised to the power of an exponential function. The general formula is. (where a>1 and b>1), which grows much more quickly than an exponential function. For example, if a = b = 10: f(0) = 10.
How do you calculate doubling time of 70?
The rule of 70 is a way to estimate the time it takes to double a number based on its growth rate. The formula is as follows: Take the number 70 and divide it by the growth rate. The result is the number of years required to double. For example, if your population is growing at 2%, divide 70 by 2.
Why is nuclear decay exponential?
This means that the number that decay in any interval keeps decreasing as time goes on: because there are fewer left that can decay. It turns out that the function which changes at a rate proportional to its size is the exponential function. This can be derived with calculus.
What is exponential growth look like?
The basic concept behind exponential growth is that the growth rate of a population, your revenue, your user base, or whatever, increases in direct proportion to its size. With this model, growth is constantly accelerating.
What is the meaning of decreasing exponentially?
A function whose value decreases more quickly than any polynomial is said to be an exponentially decreasing function. The prototypical example is the function.
Should I play linear or exponential?
Exponential seems to be the better option when you’re shooting long range.” “While linear has a linear input curve where it doesn’t matter if you’re barely moving the stick or you’re pushing all the way, the speed at which your process is moving is consistent,” he continues.
How do you tell if a word problem is linear or exponential?
If the growth or decay involves increasing or decreasing by a fixed number, use a linear function. The equation will look like: y = mx + b f(x) = (rate) x + (starting amount). If the growth or decay is expressed using multiplication (including words like “doubling” or “halving”) use an exponential function.
Is logarithmic the same as exponential?
Logarithmic functions are the inverses of exponential functions. The inverse of the exponential function y = ax is x = ay. The logarithmic function y = logax is defined to be equivalent to the exponential equation x = ay. … So you see a logarithm is nothing more than an exponent.
What things could multiply exponentially?
In order to multiply two exponential expressions together, they must have the same base, and all you need to do is add the exponents. This works if the exponents are positive or negative, but only if the bases are the same. If the terms have different bases, there is not much that can be done to simplify.
How do you show exponential growth?
Exponential Function
exponential growth or decay function is a function that grows or shrinks at a constant percent growth rate. The equation can be written in the form f(x) = a(1 + r)x or f(x) = abx where b = 1 + r.
What jobs use exponential growth?
People who use Exponents are Economists, Bankers, Financial Advisors, Insurance Risk Assessors, Biologists, Engineers, Computer Programmers, Chemists, Physicists, Geographers, Sound Engineers, Statisticians, Mathematicians, Geologists and many other professions.