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Lesson 13 - Exponential Functions, Equations &

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LESSON 12 – EXPONENTIAL

FUNCTIONS, EQUATIONS &


INEQUALITIES

Objective: At the end of the lesson, the learner is


able to distinguish among exponential functions,
exponential equations and exponential inequality.
Definition: An exponential
expression is an expression of the
x-c
form a∙b + d, where (b > 0, b ≠
1).
The definitions of exponential
equations, inequalities and functions
are shown below.
Equation Inequality Function

Definitio Exponential Exponential f(x) = b x


n expression expression
Example 2
7 2x-x = 1/343 52x - 5x + 1≤ 0 F(x) = (1.5)x
An exponential equation or
inequality can be solved for all x
values that satisfy the equation or
inequality. An exponential function
expresses a relationship between
two variables (such as x and y), and
can be represented by a table of
values or a graph
Determine whether the given is an
exponential function, an exponential
equation, an exponential inequality, or none
of these.

1. f(x) =5x 2
2. f(x) = 7 2x – 1

3. 5 2x + 1
= 625 4. 3 < 27
x

5. 2 > 4x 6. 42x = m
Determine whether the given is an exponential
function, an exponential equation, an
exponential inequality, or none of these, & find x

1. 49x = 72 2. 3 < 9x
3. y = 81x 4. 3(15x) = 45
5. 2 = 32
2x+1
6. 5 > 25 2x

7. 2x = 16
3
8. A = 20 (3) x
PROJECT: Use short size bond paper,
computer generated or through the
email address iolacahs@yahoo.com

MAKE 5 EXAMPLES OF EXPONENTIAL


EQUATIONS, INEQUALITY &
FUNCTION WITH SOLUTION.
Submit on or before August 6, 2018.

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