![]() The equation of the graph is:įrom the graph, when \(t = 2\) \(y = 2,000\). ![]() The graph shows how bacteria \((y)\) grows over time \((t)\). Exponential growth curves increase slowly in the beginning, but the gains increase rapidly and become easier as time goes on. ![]() This is an example of an exponential graph.Įxponential graphs are in the form \(y = k^x\) or \(y = k^\) graphs decrease in value. If £10,000 is invested into an account offering 2% compound interest each year then the balance grows as shown in the table. Exponential growth is a function that shows an increase within a population that occurs at the same rate over time. Compound interest occurs when interest is added to the balance at the end of a time period and interest is then calculated on the total of these at the end of the next time period. If you get your graph paper the right way round, it will be a straight line, as the logarithm of an exponential function will be a linear function. For example, the output values of the function y 3(4)x. It can be seen that as the exponent increases, the curves get steeper and the rate of growth. A graph has exponential growth when one compares the ratios between each of the values of one output and the one before are all constant. Money invested in a bank can generate two different types of interest. The following figure represents the graph of exponents of x.
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