Exponential Functions: Applications In Population Growth, Finance, And More

exponential

A(n) ___ equation is an equation in the form y=ab∧x where a≠0, b≠1 and b>0

Exponential refers to a mathematical relationship between a variable and a constant base raised to the power of that variable. In an exponential function, as the variable increases or decreases, the result of the function grows or shrinks at an exponential rate, meaning that it grows or shrinks faster and faster over time.

In other words, an exponential function is one in which the growth rate of a quantity is proportional to its current value, so the larger the quantity, the faster it grows. This type of function is often used to model phenomena that grow exponentially, such as population growth, compound interest, radioactive decay, and the spread of infectious diseases.

Exponential functions can be written in the form y = a^x, where a is the base and x is the exponent. The value of a determines how quickly the function grows or shrinks, while the value of x determines the input or output of the function. Exponential functions are used in many different fields, including finance, biology, physics, and engineering, and are an important concept in mathematics.

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