The number = 2.71828182846... It is a number that is used often in e mathematics. Scientific calculators have the key "ex." If you enter 1 for the calculator will display the value x, e. The curve is: = 0.25⋅e− where is at least 0 and = 0.25. f(x) x m 0.25⋅x For example, = 0.25⋅e− 0.25⋅5 = 0.072 f(5) The graph is as follows: Notice the graph is a declining curve. When = 0, x = 0.25⋅e− 0.25⋅0 = 0.25⋅1 = 0.25 = f(x) m EXAMPLE 2
The number e = 2.71828182846... It is a number that is used often in mathematics. Scientific calculators have the key "ex." If you enter 1 for x, the calculator will display the value e. The curve is: f(x) = 0.25⋅e− 0.25⋅x where x is at least 0 and m = 0.25. For example, f(5) = 0.25⋅e− 0.25⋅5 = 0.072 The graph is as follows: Notice the graph is a declining curve. When x = 0, f(x) = 0.25⋅e− 0.25⋅0 = 0.25⋅1 = 0.25 = m EXAMPLE 2