Exponential-function-Equation-and-Equalities.pdf

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1. EXPONENTIAL
FUNCTION, EQUATION,
AND INEQUALITIES
QUARTER 1

2. REVIEW
•What is an exponent?

3. An exponent refers tothe number of times a
number is multiplied by itself. Example ??????
2
,3
5
,2??????
4

4. OBJECTIVES
•Represent real-life situations using exponential
functions
•Distinguishes between exponential function,
exponential equation, and exponential
inequality.
•Solves exponential equations and inequalities.

5. There are certain real-life situations where an
extreme increase or decrease in a quantity can be
seen. Examples of these are bacterial growth or
decay, population growth or decline, and
compound loan interest. These conditions can be
modeled using exponential functions.

7. HOW CAN EXPONENTIAL
FUNCTION CAN BE MODELED IN
REAL-LIFE SITUATION?

8. HERE ARE SOME EXAMPLES OF HOW REAL -
WORLD SITUATIONS CAN BE MODELED
USING EXPONENTIAL FUNCTION.

13. ACTIVITY!
Read the following problems
carefully, Then
(a) complete the given table,
(b) Given an exponential model
for the situation,
(c) solve the problem.

16. REFLECTION!
What formulas can you derive from problems involving
exponential growth or decay and compound interest?
Why is it better to invest in business (or banks) offering
compounded interest?

17. In the previous lessons, you have learned about the difference
between equations, inequalities, and functions. Equations and
inequalities can both be solved for value or values of the variable,
in this case ??????, that satisfy the equation or inequality. Functions, on
the other hand show relationships between variables and can be
represented by tables of values or graphs. Let us now study the
difference between exponential equation, exponential inequality,
and exponential function.

27. ACTIVITY