Graphing Logarithmic Functions with Transformations

Using lecture, modeling, and examples, found within the
Guided Note Packet, state the definition of logarithm, and the three unique parts of a logarithmic equation. Moreover, detail how to represent a function
f(x)  in both logarithmic and exponential form.

The learner will be able to define the three unique parts of a logarithmic equation

Specific guided examples, found within the guided notes, of how to solve problems by using function notation and how to evaluate logarithmic equations in changed form.

Since the learners are expected to copy, store, and maintain the guided notes, the rational assessment to implement is to collect each of the learners note books at the end of each quarter and give a grade for completion. The Learner’s notebooks must list and Identify the effect on the graph of replacing f(x) by f(x) + k,
k f(x), f(kx),  and
f(x + k) for specific values of k (both positive and negative);and how to find the value of k given the graphs.

Using lecture, modeling, and examples, found within the guided notes illustrate the effects, on the graph of,

k₁f(x+k₂)+k₃=

k₁log_b(x+k₂)+k₃

for the specific values k₁= 1 and
k₂= k₃=0

(Introduce this function as the Parent Function).

The learner will be able to list the characteristics of the Parent Function or the

effects, on the graph of,

k₁f(x+k₂)+k₃=

k₁log_b(x+k₂)+k₃

for the specific values k₁= 1 and k₂= k₃=0.

A graph of
 f(x)=log_b(x) is sketched in the guided note packet with the given specific values of k_i.

A list is made which asserts the six main characteristics of the effects of specific values of k_i using the graph of
  f(x)=log_b(x).

Using the
In Class Worksheet illustrate the effects, on the graph of

k₁f(x+k₂)+k₃=

k₁log_b(x+k₂)+k₃

for the given values of k_i.

With aid the learner will be able to identify the effects on graphs of f(x) by replacing f(x) with f(x) + k,
k f(x), f(kx),  and
f(x + k) for specific values of k (both positive and negative);and how to find the value of k given the graphs.

Assist, if need be, the learners in the completion of the
 In Class Worksheet .

Assign the Take-Home Worksheet for homework.

Independently, at home, the learner will be able to identify the effects on graphs of f(x) by replacing f(x) with f(x) + k,
kf(x), f(kx),  and
f(x + k) for specific values of k (both positive and negative);and how to find the value of k given the graphs.

Complete the

The Take-Home Worksheet is collected the following class and given a grade of either
Complete/Satisfactory
Complete/Unsatisfactory
Incomplete/Satisfactory

Assign  Logarithmic Quiz # 3.8

Independently,in class, the learner will be able to identify the effects on graphs of f(x) by replacing f(x) with f(x) + k,
kf(x), f(kx),  and
f(x + k) for specific values of k (both positive and negative);and how to find the value of k given the graphs.

Complete the Logarithmic Quiz # 3.8

The  Logarithmic Rubric will be used to assess the students ability to identify the effects on graphs of f(x) by replacing f(x) with
f(x) + k, kf(x), f(kx),  and f(x + k) for specific values of k (both positive and negative);and how to find the value of k given the graphs.