2022-02-03
karton
Expert2023-04-22Added 613 answers
The equation represents exponential growth.
To see why, let's first take a look at the general form of an exponential function: , where a and b are constants.
In our given equation, we have a = 14 and b = 12. Since b is greater than 1, we know that this function will represent exponential growth. This means that as x increases, the value of f(x) will also increase at an increasing rate.
To understand this intuitively, consider plugging in a few values for x:
- When x = 0, we have .
- When x = 1, we have . This is much larger than f(0), which makes sense since we're seeing exponential growth.
- When x = 2, we have . Again, this is much larger than f(1), which is larger than f(0).
So, we can conclude that the given equation represents exponential growth.
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