SECTION 2.1 Linear and Quadratic Functions MATH 1330 Precalculus 141 Chapter 2 Polynomial and Rational Functions Section 2.1: Linear and Quadratic Functions Linear Functions Quadratic Functions Linear Functions Definition of a Linear Function: Graph of a Linear Function:
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SECTION 2.1 Linear and Quadratic Functions
MATH 1330 Precalculus 141
Chapter 2 Polynomial and Rational Functions
Section 2.1: Linear and Quadratic Functions
Linear Functions
Quadratic Functions
Linear Functions
Definition of a Linear Function:
Graph of a Linear Function:
CHAPTER 2 Polynomial and Rational Functions
University of Houston Department of Mathematics 142
Example:
SECTION 2.1 Linear and Quadratic Functions
MATH 1330 Precalculus 143
Solution:
Example:
Solution:
CHAPTER 2 Polynomial and Rational Functions
University of Houston Department of Mathematics 144
SECTION 2.1 Linear and Quadratic Functions
MATH 1330 Precalculus 145
Parallel and Perpendicular Lines:
CHAPTER 2 Polynomial and Rational Functions
University of Houston Department of Mathematics 146
Example:
Solution:
SECTION 2.1 Linear and Quadratic Functions
MATH 1330 Precalculus 147
Additional Example 1:
Solution:
CHAPTER 2 Polynomial and Rational Functions
University of Houston Department of Mathematics 148
Additional Example 2:
Solution:
Additional Example 3:
SECTION 2.1 Linear and Quadratic Functions
MATH 1330 Precalculus 149
Solution:
Additional Example 4:
CHAPTER 2 Polynomial and Rational Functions
University of Houston Department of Mathematics 150
Solution:
Quadratic Functions
Definition of a Quadratic Function:
Graph of a Quadratic Function:
SECTION 2.1 Linear and Quadratic Functions
MATH 1330 Precalculus 151
Example:
CHAPTER 2 Polynomial and Rational Functions
University of Houston Department of Mathematics 152
Solution:
SECTION 2.1 Linear and Quadratic Functions
MATH 1330 Precalculus 153
CHAPTER 2 Polynomial and Rational Functions
University of Houston Department of Mathematics 154
Using Formulas to Find the Vertex:
Example:
Solution:
SECTION 2.1 Linear and Quadratic Functions
MATH 1330 Precalculus 155
Intercepts of the Graph of a Quadratic Function:
x-intercepts:
CHAPTER 2 Polynomial and Rational Functions
University of Houston Department of Mathematics 156
SECTION 2.1 Linear and Quadratic Functions
MATH 1330 Precalculus 157
y-intercept:
Example:
Solution:
Note: For a review of factoring, please refer to Appendix A.1: Factoring