🔢

Exponential Function

★★★☆☆High School

📖Definition

A function where the base is a positive constant and the exponent is the variable.

f(x) = a^x (a > 0, a ≠ 1)

Definition of exponential function

a^x+y = a^x · a^y

Exponent rule

e^x = ∑_n=0^∈fty (xⁿ)/(n!)

Series expansion of natural exponential

예제 1★★☆☆☆

Solve 2^x = 32.

예제 2★★☆☆☆

Describe the graph of y = 3^x.

Cell division, population growth

Compound interest

Radioactive decay

#algebra#function#exponential#advanced