Precalculus Lesson 5.3: Exponential Equations PDF

Precalculus Lesson5.3: Exponential Equations Mrs. Snow, Instructor The exponential function is one of the most important functions in mathematics. The function is used to model the natural process of population growth...

Precalculus Lesson5.3: Exponential Equations Mrs. Snow, Instructor The exponential function is one of the most important functions in mathematics. The function is used to model the natural process of population growth and radioactive decay. It is also important in finances such interest and depreciation. The exponential function with base a is defined for all real numbers x by: 𝒇(𝒙) = 𝑪𝒂𝒙 𝒚 = 𝑪𝒂𝒙 𝒘𝒉𝒆𝒓𝒆 𝒂 > 0 𝑎𝑛𝑑 𝑎 ≠ 1 a is the growth factor C is the initial value 𝑓(𝑥) = 𝑎 𝑥 , 𝑎≠0 𝑓(𝑥) = 𝑎 𝑥 , 0