Lesson Notes 7-4
Characteristics of Logarithmic Functions
The function y = log10x is equivalent to x = 10y, so a logarithm is an exponent. The meaning of
log10x is the exponent that must be applied to base 10 to get the value of x. For example,
log10100 =
Lesson Notes 7-2
Modeling Data Using Exponential Functions
An exponential function of the form f(x) = a(b)x, with a > 0, b > 0, and b 1, models growth
when b > 1. The y-values increase from left to right along the x-axis.
An exponential function models de
Lesson Notes 6-2
Characteristics of Polynomial Functions
Last lesson we investigated polynomial functions by looking at a graph. In this lesson,
we are asked to match graphs to their equations as well as determine characteristics
without graphing. There a
Lesson Notes 8-3
Graphs of Sinusoidal Functions
A sinusoidal function is any periodic function whose graph has the same shape as that of
y = sinx. In this lesson, we must determine all characteristics of sinusoidal functions
(range, equation of midline, a
Lesson Notes 8-5
Equations of Sinusoidal Functions
Using a graphing calculator, graph the following equations on the grid provided.
y = 2sin4(x 30) + 1
y = 3cos2(x + 90) 2
A sinusoidal function of the form y = asinb(x c) + d or y = acosb(x c) + d has the
Lesson Notes 7-1
Characteristics of Exponential Functions
An exponential function is of the form y = a(b)x where a 0, b > 0, and b 1. The
graphs of exponential function are very unique. Complete the following table of values
for the indicated exponential
Year End Review: Polynomial, Exponential, and
Logarithmic Functions (Units 6 & 7)
A polynomial function in one variable is a function that contains only the operations of
multiplication and addition, with real-number coefficients, whole-number exponents,
Year End Review: Combinatorics and Probability (Units 2 & 3)
A permutation is an arrangement of objects where order is important (like people or
arranging letters). A combination is a selection of objects in which order is not important
(like card games a
Lesson Notes 7-5
Modeling Data Using Logarithmic Functions
A logarithmic function may be a good model for a set of data if a scatter plot of the data forms an
increasing or decreasing curve in Quadrant I and/or Quadrant IV.
The general form of the logarit
Year End Review: Financial Math (Units 4 & 5)
Simple interest is calculated as a percentage of the amount deposited or borrowed (the
principal). The formula we use for simple interest is:
I = Prt
where I = Interest earned
P = Principal, the amount investe