Exponential functions model situations where change is proportional to quantity. These functions have a consistent fixed period over which the function will double, triple, or quadruple as moves across the x-axis. With this function, there are typically two main equations used, exponential growth and decay; growth is y= a(1+ r)^x and decay is y= a(1-r)^x. a is the initial amount before the growth or decay, r is the growth or decay rate, and x is the number of time intervals that have passed. A real life example using exponential functions could be used when trying to determine the rate of bacteria growth over a period of time. The rate of change increases over time at a faster rate in exponential growth, and exponential decay has a rate that decreases over time. In an exponential function, the rate of change is note constantly changing at the same rate across the entire graph, therefore the graph is not a straight line. When plugging in values into a table, as the x values increase at a constant rate, the y values are increasing
Exponential functions model situations where change is proportional to quantity. These functions have a consistent fixed period over which the function will double, triple, or quadruple as moves across the x-axis. With this function, there are typically two main equations used, exponential growth and decay; growth is y= a(1+ r)^x and decay is y= a(1-r)^x. a is the initial amount before the growth or decay, r is the growth or decay rate, and x is the number of time intervals that have passed. A real life example using exponential functions could be used when trying to determine the rate of bacteria growth over a period of time. The rate of change increases over time at a faster rate in exponential growth, and exponential decay has a rate that decreases over time. In an exponential function, the rate of change is note constantly changing at the same rate across the entire graph, therefore the graph is not a straight line. When plugging in values into a table, as the x values increase at a constant rate, the y values are increasing