Tutorials--Logarithmic Functions in Tabular and Graph Form

Logarithmic Functions in Tabular
and Graph Form

Overview
This set of tutorials provides 120 examples of
logarithmic functions in tabular and graph form.

Tutorial--Logarithmic Functions in Tabular and Graph Form: Example 01. In this
tutorial, construct a function table and graph for a logarithmic function of base 10 of
the form y = log(ax +b) with these characteristics: a = 1, b = 0.

tutorial, construct a function table and graph for a logarithmic function of base
10 of the form y = log(ax +b) with these characteristics: a > 1, b = 0.

tutorial, construct a function table and graph for a logarithmic function of
base 10 of the form y = log(ax +b) with these characteristics: a < -1, b = 0.

10 of the form y = log(ax +b) with these characteristics: 0 < a < 1, b = 0.

10 of the form y = log(ax +b) with these characteristics: -1 < a < 0, b = 0.

base 10 of the form y = log(ax +b) with these characteristics: a = 1, b = 1.

base 10 of the form y = log(ax +b) with these characteristics: a > 1, b = 1.

base 10 of the form y = log(ax +b) with these characteristics: a < -1, b = 1.

10 of the form y = log(ax +b) with these characteristics: 0 < a < 1, b = 1.

10 of the form y = log(ax +b) with these characteristics: -1 < a < 0, b = 1.

10 of the form y = log(ax +b) + c with these characteristics: a = 1, b = 0, c = 1.

10 of the form y = log(ax +b) + c with these characteristics: a > 1, b = 0, c = 1.

10 of the form y = log(ax +b) + c with these characteristics: a < -1, b = 0, c = 1.

tutorial, construct a function table and graph for a logarithmic function of base 10
of the form y = log(ax +b) + c with these characteristics: 0 < a < 1, b = 0, c = 1.

of the form y = log(ax +b) + c with these characteristics: -1 < a < 0, b = 0, c = 1.

10 of the form y = log(ax +b) + c with these characteristics: a = 1, b = 1, c = 1.

10 of the form y = log(ax +b) + c with these characteristics: a > 1, b = 1, c = 1.

10 of the form y = log(ax +b) + c with these characteristics: a < -1, b = 1, c = 1.

of the form y = log(ax +b) + c with these characteristics: 0 < a < 1, b = 1, c = 1.

of the form y = log(ax +b) + c with these characteristics: -1 < a < 0, b = 1, c = 1.

10 of the form y = log(ax +b) + c with these characteristics: a = 1, b = 0, c = -1.

10 of the form y = log(ax +b) + c with these characteristics: a < -1, b = 0, c =
-1.

10 of the form y = log(ax +b) + c with these characteristics: a < -1, b = 0, c = -1.

of the form y = log(ax +b) + c with these characteristics: 0 < a < 1, b = 0, c = -1.

of the form y = log(ax +b) + c with these characteristics: -1 < a < 0, b = 0, c = -1.

10 of the form y = log(ax +b) + c with these characteristics: a = 1, b = 1, c = -1.

10 of the form y = log(ax +b) + c with these characteristics: a > 1, b = 1, c = -1.

10 of the form y = log(ax +b) + c with these characteristics: a < -1, b = 1, c = -1.

of the form y = log(ax +b) + c with these characteristics: 0 < a < 1, b = 1, c = -1.

of the form y = log(ax +b) + c with these characteristics: -1 < a < 0, b = 1, c = -1.

the form y = d • log(ax +b) + c with these characteristics: a = 1, b = 0, c = -1, d = -1.

the form y = d • log(ax +b) + c with these characteristics: a > 1, b = 0, c = -1, d = -1.

the form y = d • log(ax +b) + c with these characteristics: a < -1, b = 0, c = -1, d = -1.

Tutorial--Logarithmic Functions in Tabular and Graph Form: Example 34. In this tutorial,
construct a function table and graph for a logarithmic function of base 10 of the form y = d
• log(ax +b) + c with these characteristics: 0 < a < 1, b = 0, c = -1, d = -1.

the form y = d • log(ax +b) + c with these characteristics: -1 < a < 0, b = 0, c = -1, d
= -1.

the form y = d • log(ax +b) + c with these characteristics: 0 < a < 1, b = 1, c = -1, d =
-1.

= -1.

of the form y = log2(ax +b) with these characteristics: a = 1, b = 0.

of the form y = log2(ax +b) with these characteristics: a > 1, b = 0.

of the form y = log2(ax +b) with these characteristics: a < -1, b = 0.

of the form y = log2(ax +b) with these characteristics: 0 < a < 1, b = 0.

of the form y = log2(ax +b) with these characteristics: -1 < a < 0, b = 0.

of the form y = log2(ax +b) with these characteristics: a = 1, b = 1.

of the form y = log2(ax +b) with these characteristics: a > 1, b = 1.

of the form y = log2(ax +b) with these characteristics: a < -1, b = 1.

of the form y = log2(ax +b) with these characteristics: 0 < a < 1, b = 1.

of the form y = log2(ax +b) with these characteristics: -1 < a < 0, b = 1.

of the form y = log2(ax +b) + c with these characteristics: a = 1, b = 0, c = 1.

of the form y = log2(ax +b) + c with these characteristics: a > 1, b = 0, c = 1.

of the form y = log2(ax +b) + c with these characteristics: a < -1, b = 0, c = 1.

the form y = log2(ax +b) + c with these characteristics: 0 < a < 1, b = 0, c = 1.

the form y = log2(ax +b) + c with these characteristics: -1 < a < 0, b = 0, c = 1.

of the form y = log2(ax +b) + c with these characteristics: a = 1, b = 1, c = 1.

of the form y = log2(ax +b) + c with these characteristics: a > 1, b = 1, c = 1.

of the form y = log2(ax +b) + c with these characteristics: a < -1, b = 1, c = 1.

the form y = log2(ax +b) + c with these characteristics: 0 < a < 1, b = 1, c = 1.

the form y = log2(ax +b) + c with these characteristics: -1 < a < 0, b = 1, c = 1.

of the form y = log2(ax +b) + c with these characteristics: a = 1, b = 0, c = -1.

of the form y = log2(ax +b) + c with these characteristics: a > 1, b = 0, c = -1.

of the form y = log2(ax +b) + c with these characteristics: a < -1, b = 0, c = -1.

the form y = log2(ax +b) + c with these characteristics: 0 < a < 1, b = 0, c = -1.

the form y = log2(ax +b) + c with these characteristics: -1 < a < 0, b = 0, c = -1.

of the form y = log2(ax +b) + c with these characteristics: a = 1, b = 1, c = -1.

of the form y = log2(ax +b) + c with these characteristics: a > 1, b = 1, c = -1.

of the form y = log2(ax +b) + c with these characteristics: a < -1, b = 1, c = -1.

the form y = log2(ax +b) + c with these characteristics: 0 < a < 1, b = 1, c = -1.

the form y = log2(ax +b) + c with these characteristics: -1 < a < 0, b = 1, c = -1.
.

-1.

= -1.

-1.

= -1.

tutorial, construct a function table and graph for a logarithmic function of base e
of the form y = ln(ax +b) with these characteristics: a = 1, b = 0.

of the form y = ln(ax +b) with these characteristics: a > 1, b = 0.

of the form y = ln(ax +b) with these characteristics: a < -1, b = 0.

of the form y = ln(ax +b) with these characteristics: 0 < a < 1, b = 0.

of the form y = ln(ax +b) with these characteristics: -1 < a < 0, b = 0.

of the form y = ln(ax +b) with these characteristics: a = 1, b = 1.

of the form y = ln(ax +b) with these characteristics: a > 1, b = 1.

of the form y = ln(ax +b) with these characteristics: a < -1, b = 1.

of the form y = ln(ax +b) with these characteristics: 0 < a < 1, b = 1.

of the form y = ln(ax +b) with these characteristics: -1 < a < 0, b = 1.

of the form y = ln(ax +b) + c with these characteristics: a = 1, b = 0, c = 1.

of the form y = ln(ax +b) + c with these characteristics: a > 1, b = 0, c = 1.

of the form y = ln(ax +b) + c with these characteristics: a < -1, b = 0, c = 1.

of the form y = ln(ax +b) + c with these characteristics: 0 < a < 1, b = 0, c = 1.

of the form y = ln(ax +b) + c with these characteristics: -1 < a < 0, b = 0, c = 1.

of the form y = ln(ax +b) + c with these characteristics: a = 1, b = 1, c = 1.

of the form y = ln(ax +b) + c with these characteristics: a > 1, b = 1, c = 1.

of the form y = ln(ax +b) + c with these characteristics: a < -1, b = 1, c = 1.

of the form y = ln(ax +b) + c with these characteristics: 0 < a < 1, b = 1, c = 1.

of the form y = ln(ax +b) + c with these characteristics: -1 < a < 0, b = 1, c = 1.

of the form y = ln(ax +b) + c with these characteristics: a = 1, b = 0, c = -1.

of the form y = ln(ax +b) + c with these characteristics: a > 1, b = 0, c = -1.

of the form y = ln(ax +b) + c with these characteristics: a < -1, b = 0, c = -1.

of the form y = ln(ax +b) + c with these characteristics: 0 < a < 1, b = 0, c = -1.

of the form y = ln(ax +b) + c with these characteristics: -1 < a < 0, b = 0, c = -1.

of the form y = ln(ax +b) + c with these characteristics: a = 1, b = 1, c = -1.

of the form y = ln(ax +b) + c with these characteristics: a > 1, b = 1, c = -1.

of the form y = ln(ax +b) + c with these characteristics: a < -1, b = 1, c = -1.

of the form y = ln(ax +b) + c with these characteristics: 0 < a < 1, b = 1, c = -1.

of the form y = ln(ax +b) + c with these characteristics: -1 < a < 0, b = 1, c = -1.

tutorial, construct a function table and graph for a logarithmic function of base e of

-1.

= -1.

-1.

= -1.

Tutorials--Logarithmic Functions in Tabular and Graph Form

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