I LOVE MATH
2. The group will share their
ideas about how three
examples similar or different
1. The teacher will show the
class three sets of problem.
3. They will share their
answer in the class.
What makes these examples
similar? different?
𝑎) 4𝑥−1 = 16𝑥
𝑏) 𝑦 = 2𝑥
𝑐) 2𝑥 ≥ 26
Exponential Function,
Exponential Equation, and
Exponential Inequalities
Narciso C. Bayani Jr.
SHS – Teacher II
1. The learner should be able to :
a. differentiate exponential
function, exponential
equation and exponential
inequality
At the end of the lesson:
b. illustrate exponential
function, exponential
equation and exponential
inequality through examples
c. develop an output through
group collaboration
LET US DISCUSS..
Exponential Expression
It is an expression of
the form
a * bx-c + d
where b>0, b≠1
Exponential Equation
An equation involving
exponential expression
Example:
72𝑥−3
=
1
343
Variable x as exponent
Use of equal sign
Exponential Inequality
An inequality involving
exponential expression
Example:
52𝑥
− 5𝑥+1
≤ 0
Variable x as exponent
Use of
inequality sign
Exponential Function
Function of the form
f(x)=bx,
where b>0, b≠1
Example:
𝑓 𝑥 = (1.8)𝑥
𝑜𝑟
𝑦 = (1.8)𝑥
Variable x
as exponent
B value is >0, ≠ 1
Try these:
Exponential
equation
(face right)
Exponential
function
(face board)
Exponential
inequality
(face left)
None
(raise right
hand)
Start!!!
72𝑥−𝑥2
=
1
343
Exponential
equation
(face right)
52𝑥
- 5𝑥+1
≤ 0
Exponential
inequality
(face left)
4(10𝑥−2
) = 500
Exponential
equation
(face right)
2 ≥ (
1
2
)𝑥
None
(raise right
hand)
74𝑥
= 𝑦
Exponential
function
(face board)
𝑦 = 0.5𝑥
None
(raise right
hand)
𝑓(𝑥) = 5𝑥2
None
(raise right
hand)
GROUP WORK
1. Assign four groups
for this activity
(whatever is
applicable).
2. Each group will be
given examples to
determine whether
function, equation,
inequality, or none
3. Answers are to be
written on their
activity sheet as:
Exponential
Equation
Exponential
Inequality
Exponential
Function
None
_________
_________
_________
_________
_________
_________
_________
_________
_________
_________
_________
_________
_________
_________
_________
_________
_________
_________
_________
_________
Criteria
Ratings
5 4 3 2 1
Correct
ness
Clear solution
and correct
answer
Not clear
solution
but correct
answer
Clear
solution
but wrong
answer
Not clear
solution
and wrong
answer
Wrong
solution
and wrong
answer
Speed First group to
finish the
work
Second
group to
finish the
work
Third
group to
finish the
work
Fourth
group to
finish the
work
Last group
or beyond
the time to
finish the
group
Group
Particip
ation
About 100-
80% of the
members
participated
About 79-
60%% of
the
members
participate
d
About 59-
50% of the
members
participate
d
About 49-
30% of the
members
participate
d
About 29%
and below
of the
members
participate
d
RUBRICS TO FOLLOW:
GIVEN:
𝑓 𝑥 = 2𝑥3
𝑦 = 𝑒𝑥
22(5𝑥+1
) = 500
𝑓 𝑥 = 2𝑥
625 ≥ 5𝑥+8
𝑦 = (−4)𝑥
I have learned
that……..
LET’S SEE…
Write EE, EI, EF, NO
whether the following are
examples are exponential
equation, exponential
inequality, exponential
function or none of these
1) 𝑦 = 𝑥8
2) 𝑦 = 2.56𝑥
3) 64 = 8𝑥
4) 𝑦 = 𝑥
5) 52𝑥 < 42𝑥
Agreement:
Prove whether the example is
exponential function or not
𝑦 = ∣ −3 ∣ 2𝑥
THANK YOU!!!!
Answer:
Exponential
Equation
Exponential
Inequality
Exponential
Function
None
𝑓 𝑥 = 2𝑥3
𝑦 = 𝑒𝑥
22(5𝑥+1) = 500
𝑓 𝑥 = 2𝑥
625 ≥ 5𝑥+8
𝑦 = (−4)𝑥
1) 𝑁𝑂
2) 𝐸𝐹
3) 𝐸𝐸
4) 𝑁𝑂
5) 𝐸𝐼

438952707-M11GM-Ie-4-exponential-function-equation-inequality-pptx.pptx