EXPONENTIAL FUNCTIONS, EQUATIONS, AND INEQUATIONS

Bacteria, living things that very small, in fact this can be dangerous to other living beings is greater as we, human beings. For the diagnosis of health, we need the knowledge that no amount of bacteria in our bodies.

How do we calculate the number of bacteria at certain time? Exponential function can help us to calculate it. How it works? Let us follow this chapter.

BASIC COMPETENCE:

• Using the characteristics of exponential and logarithmic functions in problem solving.

• Sketching the graphs of exponential and logarithmic functions.

• Using the characteristics of exponential and logarithmic functions in solving exponential and logarithmic inequations.

KEY WORDS:

• Exponents

• Power

• Base Number

• Exponential Equations

• Exponential Functions

• Exponential Inequations

• Rational Numbers

MAIN TOPIC:

A. The Definition of Exponential Function

B. The graphs of Exponential Functions

C. The Exponential Equations

D. The Exponential Inequations

E. The Growth and Decay in Daily Life

We know that bacteria grow by splitting itself. One bacterial cell can become two in just a few minutes. Two bacteria become four bacteria, and then four become eight bacteria’s. Bacteria keep multiplying this way. The number of bacteria at a certain time can be known using exponential fun actions.

In addition to determining the number of bacteria, exponential functions can be used in capital growth, increased absorption light, and radioactive decay.

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