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MTH 111–112 Supplement
Mathematics Faculty, Greta Swanson (Editor), Alex Jordan (Editor)
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Front Matter
1
MTH 111 Supplement
1.1
Graph Transformations
1.1
Exercises
1.2
Inverse Functions
1.2
Exercises
1.3
Exponential Functions
1.3
Exercises
1.4
Logarithmic Functions
1.4
Exercises
2
MTH 112 Supplement
2.1
Angles
2.1.1
Coterminal Angles
2.1.2
Reference Angles
2.1.3
Degrees, Minutes, and Seconds
2.1.4
Exercises
2.2
Generalized Definitions of Trigonometric Functions
2.2
Exercises
2.3
Graphing Sinusoidal Functions: Phase Shift vs. Horizontal Shift
2.3
Exercises
2.4
Complex Numbers and Polar Coordinates
2.4.1
Forms of Complex Numbers
2.4.2
Using the Polar Form to Find Complex Roots
2.4.3
Exercises
Back Matter
A
Answers and Solutions to Exercises
🔗
Section
1.3
Exponential Functions
🔗
These exercises find the formula for an exponential funciton given a pair of input-output coordinates.
🔗
Exercises
Exercises
🔗
Find the Formula.
🔗
In
Exercises 1–6
, find an algebraic rule for an exponential function
f
that passes through the given two points.
🔗
1
.
🔗
(
0
,
50
)
and
(
3
,
400
)
🔗
2
.
🔗
(
0
,
4
)
and
(
4
,
1
4
)
🔗
3
.
🔗
(
−
1
,
2
3
)
and
(
2
,
18
)
🔗
4
.
🔗
(
−
2
,
125
8
)
and
(
1
,
8
)
🔗
5
.
🔗
(
−
2
,
125
)
and
(
3
,
1
25
)
🔗
6
.
🔗
(
−
3
,
27
16
)
and
(
3
,
4
27
)
