Section 9.1
Limits
Example of limits
Find the limit: lim x 2 + 1
x 1
Find the limit of the function as x approaches 1
x
f (x)
.9
1.810
.99
.999
1.980 1.998
1.1
2.210
1.01
2.020
1.001
2.002
The values in the table seem to approach 2 as x approaches 1. Ther
Math 126
Functions Unit
Key Terms
Relation: A set of ordered pairs
Domain: The set of all x-values or first coordinates in a relation.
Range: The set of all y-values or second coordinates in a relation.
Example 1
Find the domain and range of the relation
Math 126
Factoring Polynomials
Types of Factoring
1)
2)
3)
4)
Factor by taking out a Greatest Common Factor (GFC)
Factor a trinomial as two binomials.
Factor a binomial as a difference of two squares
Factor a binomial as a difference of cubes or a sum of
Exponents and Radicals
Definition of an Exponent
Define a n = a a a a a or a multiplied out n times
Example 1
Simplify the following exponents
a) 4 3 = 4 4 4 = 64
b) 5 6 = 5 5 5 5 5 5 = 15625
c) (3) 4 = (3)(3)(3)(3) = 81
d ) 3 4 = 81
Properties for Expone