Exponential growth occurs when a quantity increases by a constant factor over equal intervals. This type of growth is often observed in populations, investments, and other systems where the rate of ...

What’s the greatest shortcoming of the human race? I’m sure we all have some suggestions, but according to physicist Albert Bartlett, it is “our inability to understand the exponential function.” ...

Tyee contributing editor Andrew Nikiforuk is an award-winning journalist whose books and articles focus on epidemics, the energy industry, nature and more. Exponential growth looks like a jet taking ...

Recall that the solution of the initial-value problem \(y^\prime=ky\text{,}\) \(y(0)=A\text{,}\) is given by \(\ds y=Ae^{kx}\text{.}\) Solve the following problems ...

In everyday speech, exponential growth means runaway expansion. Math class taught us that compound interest, population increase, or radioactive decay are all applications of exponential functions.

This is an example of an exponential graph in the form \(y = k^x\). Graphs in the form of \(y = k^x\) increase in value.