The growth of a bacterial colony is often used to illustrate it. An exponential function in Mathematics can be defined as a Mathematical function is in form f x ax where x is the variable and where a is known as a constant which is also known as the base of the function and it should always be greater than the value zero. At first has a lower rate of growth than the linear equation fx 50x.
The output values are positive for all values of x.
The formula for exponential growth of a variable x at the growth rate r as time t goes on in discrete intervals that is at integer times 0 1 2 3 is where x0 is the value of x at time 0. In fact for any exponential function with the form f x abx f x a b x b is the constant ratio of the function. The formula for exponential growth of a variable x at the growth rate r as time t goes on in discrete intervals that is at integer times 0 1 2 3 is where x0 is the value of x at time 0. X-axis on the right displays exponential decay rather than exponential growthFor a graph to display exponential decay either the exponent is negative or else the base is between 0 and 1You should expect to need to be able to identify the type of exponential equation from the graph.