Scholarship Algebra II
7-1: Roots and Radical Expressions Notes
Day 1
Lets solve the equation x4 = 16.
The Fundamental Theorem of Algebra tells us that there should be 4 solutions. However, in this
chapter, we will be dealing with real numbers only.
The r
Scholarship Algebra II
7-7 Inverse Functions and Relations
The inverse of a relation is found by switching the x and y values.
Ex. 1: Find the inverse and graph.
x
1
2
3
4
y
0
1
2
3
x
y
0
1
1
2
2
3
3
4
Finding the inverse from an equation:
If f(x) is the
Scholarship Algebra II
8-1 Exponential Functions
An exponential function is a function of the form y = abx.
When b > 1, the function represents exponential growth.
When b < 1, the function represents exponential decay.
a is the initial value (when x = 0,
Scholarship Algebra II
8-4 Properties of Logarithms
Day 1
For any positive numbers M, N, and b, where b 1:
Product Property
Quotient Property
Power Property
log b MN = log b M + log b N
M
log b
= log b M log b N
N
log b M x = x log b M
Ex. 1: Write each l